diff --git a/lib/internal/streams/end-of-stream.js b/lib/internal/streams/end-of-stream.js
index 949ab638148d24..585a52ae2f2382 100644
--- a/lib/internal/streams/end-of-stream.js
+++ b/lib/internal/streams/end-of-stream.js
@@ -59,9 +59,9 @@ function eos(stream, opts, callback) {
     };
   }
 
-  let readable = opts.readable ||
+  const readable = opts.readable ||
     (opts.readable !== false && isReadable(stream));
-  let writable = opts.writable ||
+  const writable = opts.writable ||
     (opts.writable !== false && isWritable(stream));
 
   const onlegacyfinish = () => {
@@ -69,15 +69,13 @@ function eos(stream, opts, callback) {
   };
 
   const onfinish = () => {
-    writable = false;
     writableFinished = true;
-    if (!readable) callback.call(stream);
+    if (!readable || readableEnded) callback.call(stream);
   };
 
   const onend = () => {
-    readable = false;
     readableEnded = true;
-    if (!writable) callback.call(stream);
+    if (!writable || writableFinished) callback.call(stream);
   };
 
   const onclose = () => {