diff --git a/codecs/oxipng/Cargo.lock b/codecs/oxipng/Cargo.lock
index d3abbefa..49428bb2 100644
--- a/codecs/oxipng/Cargo.lock
+++ b/codecs/oxipng/Cargo.lock
@@ -20,9 +20,9 @@ checksum = "cdb031dd78e28731d87d56cc8ffef4a8f36ca26c38fe2de700543e627f8a464a"
 
 [[package]]
 name = "bit-vec"
-version = "0.6.2"
+version = "0.6.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "5f0dc55f2d8a1a85650ac47858bb001b4c0dd73d79e3c455a842925e68d29cd3"
+checksum = "349f9b6a179ed607305526ca489b34ad0a41aed5f7980fa90eb03160b69598fb"
 
 [[package]]
 name = "bitflags"
@@ -56,9 +56,9 @@ checksum = "08c48aae112d48ed9f069b33538ea9e3e90aa263cfa3d1c24309612b1f7472de"
 
 [[package]]
 name = "cc"
-version = "1.0.62"
+version = "1.0.66"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f1770ced377336a88a67c473594ccc14eca6f4559217c34f64aac8f83d641b40"
+checksum = "4c0496836a84f8d0495758516b8621a622beb77c0fed418570e50764093ced48"
 
 [[package]]
 name = "cfg-if"
@@ -98,9 +98,9 @@ checksum = "3d7b894f5411737b7867f4827955924d7c254fc9f4d91a6aad6b097804b1018b"
 
 [[package]]
 name = "const_fn"
-version = "0.4.3"
+version = "0.4.5"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "c478836e029dcef17fb47c89023448c64f781a046e0300e257ad8225ae59afab"
+checksum = "28b9d6de7f49e22cf97ad17fc4036ece69300032f45f78f30b4a4482cdc3f4a6"
 
 [[package]]
 name = "crc"
@@ -143,9 +143,9 @@ dependencies = [
 
 [[package]]
 name = "crossbeam-epoch"
-version = "0.9.0"
+version = "0.9.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "ec0f606a85340376eef0d6d8fec399e6d4a544d648386c6645eb6d0653b27d9f"
+checksum = "a1aaa739f95311c2c7887a76863f500026092fb1dce0161dab577e559ef3569d"
 dependencies = [
  "cfg-if 1.0.0",
  "const_fn",
@@ -157,13 +157,12 @@ dependencies = [
 
 [[package]]
 name = "crossbeam-utils"
-version = "0.8.0"
+version = "0.8.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "ec91540d98355f690a86367e566ecad2e9e579f230230eb7c21398372be73ea5"
+checksum = "02d96d1e189ef58269ebe5b97953da3274d83a93af647c2ddd6f9dab28cedb8d"
 dependencies = [
  "autocfg",
  "cfg-if 1.0.0",
- "const_fn",
  "lazy_static",
 ]
 
@@ -200,9 +199,9 @@ dependencies = [
 
 [[package]]
 name = "image"
-version = "0.23.11"
+version = "0.23.12"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "b4f0a8345b33b082aedec2f4d7d4a926b845cee184cbe78b703413066564431b"
+checksum = "7ce04077ead78e39ae8610ad26216aed811996b043d47beed5090db674f9e9b5"
 dependencies = [
  "bytemuck",
  "byteorder",
@@ -215,9 +214,9 @@ dependencies = [
 
 [[package]]
 name = "indexmap"
-version = "1.6.0"
+version = "1.6.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "55e2e4c765aa53a0424761bf9f41aa7a6ac1efa87238f59560640e27fca028f2"
+checksum = "4fb1fa934250de4de8aef298d81c729a7d33d8c239daa3a7575e6b92bfc7313b"
 dependencies = [
  "autocfg",
  "hashbrown",
@@ -226,9 +225,9 @@ dependencies = [
 
 [[package]]
 name = "itertools"
-version = "0.9.0"
+version = "0.10.0"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "284f18f85651fe11e8a991b2adb42cb078325c996ed026d994719efcfca1d54b"
+checksum = "37d572918e350e82412fe766d24b15e6682fb2ed2bbe018280caa810397cb319"
 dependencies = [
  "either",
 ]
@@ -241,24 +240,24 @@ checksum = "e2abad23fbc42b3700f2f279844dc832adb2b2eb069b2df918f455c4e18cc646"
 
 [[package]]
 name = "libc"
-version = "0.2.80"
+version = "0.2.81"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "4d58d1b70b004888f764dfbf6a26a3b0342a1632d33968e4a179d8011c760614"
+checksum = "1482821306169ec4d07f6aca392a4681f66c75c9918aa49641a2595db64053cb"
 
 [[package]]
 name = "libdeflate-sys"
-version = "0.6.0"
+version = "0.7.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "2f5b1582a0ebf8c55a46166c04d7c66f6bb17add3a6cbf69a082ac2219f31671"
+checksum = "4a95fa4be7085dd06a8296dcc3f399f12ab8b0309c157dcaa90669130b175b97"
 dependencies = [
  "cc",
 ]
 
 [[package]]
 name = "libdeflater"
-version = "0.6.0"
+version = "0.7.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "93edd93a53970951da84ef733a8b6e30189a8f8a9e19610f69e4cc5bb1f4d654"
+checksum = "ccc147465654929bf7b56518cc46d11701ba290f4ff94398ae3f89f1663cf60f"
 dependencies = [
  "libdeflate-sys",
 ]
@@ -274,9 +273,9 @@ dependencies = [
 
 [[package]]
 name = "memoffset"
-version = "0.5.6"
+version = "0.6.1"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "043175f069eda7b85febe4a74abbaeff828d9f8b448515d3151a14a3542811aa"
+checksum = "157b4208e3059a8f9e78d559edc658e13df41410cb3ae03979c83130067fdd87"
 dependencies = [
  "autocfg",
 ]
@@ -359,9 +358,9 @@ checksum = "13bd41f508810a131401606d54ac32a467c97172d74ba7662562ebba5ad07fa0"
 
 [[package]]
 name = "oxipng"
-version = "4.0.1"
+version = "4.0.3"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "9fefb26bde273c3db896a313151301a69e698a7495ee577fe2168ed7065c29c4"
+checksum = "50d0b53912a666fe2970f8ab254e283531c816aed16551ab66c52485eadb44e6"
 dependencies = [
  "bit-vec",
  "byteorder",
@@ -390,9 +389,9 @@ dependencies = [
 
 [[package]]
 name = "png"
-version = "0.16.7"
+version = "0.16.8"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "dfe7f9f1c730833200b134370e1d5098964231af8450bce9b78ee3ab5278b970"
+checksum = "3c3287920cb847dee3de33d301c463fba14dda99db24214ddf93f83d3021f4c6"
 dependencies = [
  "bitflags",
  "crc32fast",
@@ -411,9 +410,9 @@ dependencies = [
 
 [[package]]
 name = "quote"
-version = "1.0.7"
+version = "1.0.8"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "aa563d17ecb180e500da1cfd2b028310ac758de548efdd203e18f283af693f37"
+checksum = "991431c3519a3f36861882da93630ce66b52918dcf1b8e2fd66b397fc96f28df"
 dependencies = [
  "proc-macro2",
 ]
@@ -478,9 +477,9 @@ dependencies = [
 
 [[package]]
 name = "semver-parser"
-version = "0.10.1"
+version = "0.10.2"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "42ef146c2ad5e5f4b037cd6ce2ebb775401729b19a82040c1beac9d36c7d1428"
+checksum = "00b0bef5b7f9e0df16536d3961cfb6e84331c065b4066afb39768d0e319411f7"
 dependencies = [
  "pest",
 ]
@@ -490,6 +489,7 @@ name = "squoosh-oxipng"
 version = "0.1.0"
 dependencies = [
  "crossbeam-channel",
+ "libdeflater",
  "log",
  "once_cell",
  "oxipng",
@@ -499,9 +499,9 @@ dependencies = [
 
 [[package]]
 name = "syn"
-version = "1.0.48"
+version = "1.0.58"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "cc371affeffc477f42a221a1e4297aedcea33d47d19b61455588bd9d8f6b19ac"
+checksum = "cc60a3d73ea6594cd712d830cc1f0390fd71542d8c8cd24e70cc54cdfd5e05d5"
 dependencies = [
  "proc-macro2",
  "quote",
@@ -522,19 +522,19 @@ checksum = "f7fe0bb3479651439c9112f72b6c505038574c9fbb575ed1bf3b797fa39dd564"
 
 [[package]]
 name = "wasm-bindgen"
-version = "0.2.68"
+version = "0.2.69"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "1ac64ead5ea5f05873d7c12b545865ca2b8d28adfc50a49b84770a3a97265d42"
+checksum = "3cd364751395ca0f68cafb17666eee36b63077fb5ecd972bbcd74c90c4bf736e"
 dependencies = [
- "cfg-if 0.1.10",
+ "cfg-if 1.0.0",
  "wasm-bindgen-macro",
 ]
 
 [[package]]
 name = "wasm-bindgen-backend"
-version = "0.2.68"
+version = "0.2.69"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f22b422e2a757c35a73774860af8e112bff612ce6cb604224e8e47641a9e4f68"
+checksum = "1114f89ab1f4106e5b55e688b828c0ab0ea593a1ea7c094b141b14cbaaec2d62"
 dependencies = [
  "bumpalo",
  "lazy_static",
@@ -547,9 +547,9 @@ dependencies = [
 
 [[package]]
 name = "wasm-bindgen-macro"
-version = "0.2.68"
+version = "0.2.69"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "6b13312a745c08c469f0b292dd2fcd6411dba5f7160f593da6ef69b64e407038"
+checksum = "7a6ac8995ead1f084a8dea1e65f194d0973800c7f571f6edd70adf06ecf77084"
 dependencies = [
  "quote",
  "wasm-bindgen-macro-support",
@@ -557,9 +557,9 @@ dependencies = [
 
 [[package]]
 name = "wasm-bindgen-macro-support"
-version = "0.2.68"
+version = "0.2.69"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "f249f06ef7ee334cc3b8ff031bfc11ec99d00f34d86da7498396dc1e3b1498fe"
+checksum = "b5a48c72f299d80557c7c62e37e7225369ecc0c963964059509fbafe917c7549"
 dependencies = [
  "proc-macro2",
  "quote",
@@ -570,6 +570,6 @@ dependencies = [
 
 [[package]]
 name = "wasm-bindgen-shared"
-version = "0.2.68"
+version = "0.2.69"
 source = "registry+https://github.com/rust-lang/crates.io-index"
-checksum = "1d649a3145108d7d3fbcde896a468d1bd636791823c9921135218ad89be08307"
+checksum = "7e7811dd7f9398f14cc76efd356f98f03aa30419dea46aa810d71e819fc97158"
diff --git a/codecs/oxipng/Cargo.toml b/codecs/oxipng/Cargo.toml
index 73ef8261..6ab15d3a 100644
--- a/codecs/oxipng/Cargo.toml
+++ b/codecs/oxipng/Cargo.toml
@@ -12,7 +12,8 @@ wasm-opt = ["-O", "--no-validation"]
 crate-type = ["cdylib"]
 
 [dependencies]
-oxipng = { version = "4.0.0", default-features = false, features = ["libdeflater"] }
+oxipng = { version = "4.0.1", default-features = false, features = ["libdeflater"] }
+libdeflater = { version = "0.7.1", features = ["freestanding"] }
 wasm-bindgen = "0.2.68"
 log = { version = "0.4.11", features = ["release_max_level_off"] }
 rayon = { version = "1.5.0", optional = true }
diff --git a/codecs/oxipng/pkg-parallel/squoosh_oxipng.d.ts b/codecs/oxipng/pkg-parallel/squoosh_oxipng.d.ts
index a5cfa570..3ed1d157 100644
--- a/codecs/oxipng/pkg-parallel/squoosh_oxipng.d.ts
+++ b/codecs/oxipng/pkg-parallel/squoosh_oxipng.d.ts
@@ -22,8 +22,6 @@ export type InitInput = RequestInfo | URL | Response | BufferSource | WebAssembl
 
 export interface InitOutput {
   readonly optimise: (a: number, b: number, c: number, d: number) => void;
-  readonly malloc: (a: number) => number;
-  readonly free: (a: number) => void;
   readonly worker_initializer: (a: number) => number;
   readonly start_main_thread: () => void;
   readonly start_worker_thread: () => void;
diff --git a/codecs/oxipng/pkg-parallel/squoosh_oxipng_bg.wasm b/codecs/oxipng/pkg-parallel/squoosh_oxipng_bg.wasm
index bb9559c8..a90f2296 100644
Binary files a/codecs/oxipng/pkg-parallel/squoosh_oxipng_bg.wasm and b/codecs/oxipng/pkg-parallel/squoosh_oxipng_bg.wasm differ
diff --git a/codecs/oxipng/pkg-parallel/squoosh_oxipng_bg.wasm.d.ts b/codecs/oxipng/pkg-parallel/squoosh_oxipng_bg.wasm.d.ts
index e4189249..d1b8b633 100644
--- a/codecs/oxipng/pkg-parallel/squoosh_oxipng_bg.wasm.d.ts
+++ b/codecs/oxipng/pkg-parallel/squoosh_oxipng_bg.wasm.d.ts
@@ -1,8 +1,6 @@
 /* tslint:disable */
 /* eslint-disable */
 export function optimise(a: number, b: number, c: number, d: number): void;
-export function malloc(a: number): number;
-export function free(a: number): void;
 export function worker_initializer(a: number): number;
 export function start_main_thread(): void;
 export function start_worker_thread(): void;
diff --git a/codecs/oxipng/pkg/squoosh_oxipng.d.ts b/codecs/oxipng/pkg/squoosh_oxipng.d.ts
index 196593fb..1c5c5b4d 100644
--- a/codecs/oxipng/pkg/squoosh_oxipng.d.ts
+++ b/codecs/oxipng/pkg/squoosh_oxipng.d.ts
@@ -12,8 +12,6 @@ export type InitInput = RequestInfo | URL | Response | BufferSource | WebAssembl
 export interface InitOutput {
   readonly memory: WebAssembly.Memory;
   readonly optimise: (a: number, b: number, c: number, d: number) => void;
-  readonly malloc: (a: number) => number;
-  readonly free: (a: number) => void;
   readonly __wbindgen_malloc: (a: number) => number;
   readonly __wbindgen_free: (a: number, b: number) => void;
 }
diff --git a/codecs/oxipng/pkg/squoosh_oxipng_bg.wasm b/codecs/oxipng/pkg/squoosh_oxipng_bg.wasm
index ab9e78e9..d8dc493d 100644
Binary files a/codecs/oxipng/pkg/squoosh_oxipng_bg.wasm and b/codecs/oxipng/pkg/squoosh_oxipng_bg.wasm differ
diff --git a/codecs/oxipng/pkg/squoosh_oxipng_bg.wasm.d.ts b/codecs/oxipng/pkg/squoosh_oxipng_bg.wasm.d.ts
index 81b35d76..d16fb460 100644
--- a/codecs/oxipng/pkg/squoosh_oxipng_bg.wasm.d.ts
+++ b/codecs/oxipng/pkg/squoosh_oxipng_bg.wasm.d.ts
@@ -2,7 +2,5 @@
 /* eslint-disable */
 export const memory: WebAssembly.Memory;
 export function optimise(a: number, b: number, c: number, d: number): void;
-export function malloc(a: number): number;
-export function free(a: number): void;
 export function __wbindgen_malloc(a: number): number;
 export function __wbindgen_free(a: number, b: number): void;
diff --git a/codecs/oxipng/src/lib.rs b/codecs/oxipng/src/lib.rs
index f48c66f3..d9d44655 100644
--- a/codecs/oxipng/src/lib.rs
+++ b/codecs/oxipng/src/lib.rs
@@ -1,8 +1,6 @@
 use oxipng::AlphaOptim;
 use wasm_bindgen::prelude::*;
 
-mod malloc_shim;
-
 #[cfg(feature = "parallel")]
 pub mod parallel;
 
diff --git a/codecs/oxipng/src/malloc_shim.rs b/codecs/oxipng/src/malloc_shim.rs
deleted file mode 100644
index ff199d4b..00000000
--- a/codecs/oxipng/src/malloc_shim.rs
+++ /dev/null
@@ -1,47 +0,0 @@
-//! This is a module that provides `malloc` and `free` for `libdeflate`.
-//! These implementations are compatible with the standard signatures
-//! but use Rust allocator instead of including libc one as well.
-//!
-//! Rust allocator APIs requires passing size and alignment to the
-//! `dealloc` function. This is different from C API, which only
-//! expects a pointer in `free` and expects allocators to take care of
-//! storing any necessary information elsewhere.
-//!
-//! In order to simulate C API, we allocate a `size_and_data_ptr`
-//! of size `sizeof(usize) + size` where `size` is the requested number
-//! of bytes. Then, we store `size` at the beginning of the allocated
-//! chunk (within those `sizeof(usize)` bytes) and return
-//! `data_ptr = size_and_data_ptr + sizeof(usize)` to the calleer:
-//!
-//! [`size`][...actual data]
-//! -^------------------ `size_and_data_ptr`
-//! ---------^---------- `data_ptr`
-//!
-//! Then, in `free`, the caller gives us `data_ptr`. We can subtract
-//! `sizeof(usize)` back and get the original `size_and_data_ptr`.
-//! At this point we can read `size` back and call the Rust `dealloc`
-//! for the whole allocated chunk.
-//!
-//! I've raised an upstream issue to hopefully make this easier in
-//! future: https://github.com/ebiggers/libdeflate/issues/62
-
-use std::alloc::*;
-use std::mem::{align_of, size_of};
-
-unsafe fn layout_for(size: usize) -> Layout {
-    Layout::from_size_align_unchecked(size_of::<usize>() + size, align_of::<usize>())
-}
-
-#[no_mangle]
-pub unsafe extern "C" fn malloc(size: usize) -> *mut u8 {
-    let size_and_data_ptr = alloc(layout_for(size));
-    *(size_and_data_ptr as *mut usize) = size;
-    size_and_data_ptr.add(size_of::<usize>())
-}
-
-#[no_mangle]
-pub unsafe extern "C" fn free(data_ptr: *mut u8) {
-    let size_and_data_ptr = data_ptr.sub(size_of::<usize>());
-    let size = *(size_and_data_ptr as *const usize);
-    dealloc(size_and_data_ptr, layout_for(size))
-}