diff --git a/index.cjs b/index.cjs
index 9b27f4e02..4a6cc27e7 100644
--- a/index.cjs
+++ b/index.cjs
@@ -21,7 +21,7 @@
 
 const bindings = require("./pkg/matrix_sdk_crypto_wasm_bg.cjs");
 
-const moduleUrl = require.resolve("./pkg/matrix_sdk_crypto_wasm_bg.wasm");
+const defaultURL = require.resolve("./pkg/matrix_sdk_crypto_wasm_bg.wasm");
 
 // We want to throw an error if the user tries to use the bindings before
 // calling `initAsync`.
@@ -47,10 +47,11 @@ let modPromise = null;
 /**
  * Loads and instantiates the WASM module asynchronously
  *
+ * @param {URL | string} url - The URL to fetch the WebAssembly module from
  * @returns {Promise<void>}
  */
-async function loadModuleAsync() {
-    const { instance } = await WebAssembly.instantiateStreaming(fetch(moduleUrl), {
+async function loadModuleAsync(url) {
+    const { instance } = await WebAssembly.instantiateStreaming(fetch(url), {
         // @ts-expect-error: The bindings don't exactly match the 'ExportValue' type
         "./matrix_sdk_crypto_wasm_bg.js": bindings,
     });
@@ -65,10 +66,11 @@ async function loadModuleAsync() {
  *
  * Returns a promise which will resolve once the other methods are ready.
  *
+ * @param {URL | string} [url] - The URL to fetch the WebAssembly module from. If not provided, a default URL will be used.
  * @returns {Promise<void>}
  */
-async function initAsync() {
-    if (!modPromise) modPromise = loadModuleAsync();
+async function initAsync(url = defaultURL) {
+    if (!modPromise) modPromise = loadModuleAsync(url);
     await modPromise;
 }
 
diff --git a/index.d.ts b/index.d.ts
index 24b2fd4ae..12b211ed7 100644
--- a/index.d.ts
+++ b/index.d.ts
@@ -43,10 +43,10 @@ export * from "./pkg/matrix_sdk_crypto_wasm.js";
  * Load the WebAssembly module in the background, if it has not already been loaded.
  *
  * Returns a promise which will resolve once the other methods are ready.
- *
+ * @param {URL | string} [url] - The URL to fetch the WebAssembly module from. If not provided, a default URL will be used.
  * @returns {Promise<void>}
  */
-export declare function initAsync(): Promise<void>;
+export declare function initAsync(url?: URL | string): Promise<void>;
 
 // The auto-generated typescript definitions are a good start, but could do with tightening up in a lot of areas.
 // The following is a manually-curated set of typescript definitions.
diff --git a/index.mjs b/index.mjs
index b792f114f..cf58971c7 100644
--- a/index.mjs
+++ b/index.mjs
@@ -21,7 +21,7 @@
 
 import * as bindings from "./pkg/matrix_sdk_crypto_wasm_bg.js";
 
-const moduleUrl = new URL("./pkg/matrix_sdk_crypto_wasm_bg.wasm", import.meta.url);
+const defaultURL = new URL("./pkg/matrix_sdk_crypto_wasm_bg.wasm", import.meta.url);
 
 // Although we could simply instantiate the WASM at import time with a top-level `await`,
 // we avoid that, to make it easier for callers to delay loading the WASM (and instead
@@ -52,10 +52,11 @@ let modPromise = null;
 /**
  * Loads and instantiates the WASM module asynchronously
  *
+ * @param {URL | string} url - The URL to fetch the WebAssembly module from
  * @returns {Promise<void>}
  */
-async function loadModuleAsync() {
-    const { instance } = await WebAssembly.instantiateStreaming(fetch(moduleUrl), {
+async function loadModuleAsync(url) {
+    const { instance } = await WebAssembly.instantiateStreaming(fetch(url), {
         // @ts-expect-error: The bindings don't exactly match the 'ExportValue' type
         "./matrix_sdk_crypto_wasm_bg.js": bindings,
     });
@@ -70,10 +71,11 @@ async function loadModuleAsync() {
  *
  * Returns a promise which will resolve once the other methods are ready.
  *
+ * @param {URL | string} [url] - The URL to fetch the WebAssembly module from. If not provided, a default URL will be used.
  * @returns {Promise<void>}
  */
-export async function initAsync() {
-    if (!modPromise) modPromise = loadModuleAsync();
+export async function initAsync(url = defaultURL) {
+    if (!modPromise) modPromise = loadModuleAsync(url);
     await modPromise;
 }