diff --git a/package.json b/package.json
index 14d0175..4a5e9ca 100644
--- a/package.json
+++ b/package.json
@@ -1,6 +1,6 @@
 {
   "name": "mux-web-streams",
-  "version": "1.1.0",
+  "version": "1.1.1",
   "description": "Multiplex and demultiplex web streams.",
   "author": "Ben Brook",
   "license": "MIT",
diff --git a/src/muxer.ts b/src/muxer.ts
index 185d807..60061b4 100644
--- a/src/muxer.ts
+++ b/src/muxer.ts
@@ -64,14 +64,9 @@ function serializeChunk({
   id,
   end,
   value,
-}: Omit<Header, 'dataIsRaw'> & { value: SerializableData }): Uint8Array | null {
+}: Omit<Header, 'dataIsRaw'> & { value: SerializableData }): Uint8Array {
   const { data, isRaw } = serializeData({ value });
 
-  // No data in this chunk; skip writing anything at all
-  if (data.length === 0) {
-    return null;
-  }
-
   // Create the header
   const header = headerToArray({
     id,
@@ -179,11 +174,8 @@ export const muxer = (
             value: result.value,
           });
 
-          // If the byteChunk is not empty (sometimes streams have empty chunks)
-          if (byteChunk !== null) {
-            // Write it to the muxed output
-            controller.enqueue(byteChunk);
-          }
+          // Write it to the muxed output
+          controller.enqueue(byteChunk);
         } else {
           // This incoming stream is finished
           // Mark this incoming stream as done, so we no longer attempt to read from it.
@@ -196,9 +188,9 @@ export const muxer = (
           const byteChunk = serializeChunk({
             id: currentReader.id,
             end: true,
-            value: '\u0004', // arbitrarily chosen; value just needs to have length > 0 to distinguish cases
+            value: 0x03, // "end of text" control code
           });
-          controller.enqueue(byteChunk!);
+          controller.enqueue(byteChunk);
         }
       })();
     },
diff --git a/test/mux-web-streams.test.ts b/test/mux-web-streams.test.ts
index 23e3602..8a289dd 100644
--- a/test/mux-web-streams.test.ts
+++ b/test/mux-web-streams.test.ts
@@ -42,14 +42,14 @@ const inputData: SerializableData[][] = [
   [{ a: 1 }, { b: 2 }, { c: 3 }],
   [1, 2],
   ['A'],
-  [[1, 2], 3, 'a', new Uint8Array([12, 1, 100, 255, 0])],
+  [[1, 2], 3, 'a', new Uint8Array([12, 1, 3, 100, 255, 0])],
   [true, false],
   [[1, 2], 3, null, 'a'],
   [[1, 2], 3, 'a'],
   [[1, 2], 3, false],
   [[1, 2], 3, 0],
   [[1, 2], 3, []],
-  [new Uint8Array([12, 1, 100, 255, 0])],
+  [new Uint8Array([12, 1, 3, 100, 255, 0])],
   [null, null, null],
   [[1, 2], 3, 'a', {}],
   [[1, 2], 3, null, 'a'],