diff --git a/lib/internal/streams/end-of-stream.js b/lib/internal/streams/end-of-stream.js
index 1550259d02de00..274c2796edd443 100644
--- a/lib/internal/streams/end-of-stream.js
+++ b/lib/internal/streams/end-of-stream.js
@@ -157,13 +157,13 @@ function eos(stream, options, callback) {
   } else if (
     !readable &&
     (!willEmitClose || isReadable(stream)) &&
-    writableFinished
+    (writableFinished || !isWritable(stream))
   ) {
     process.nextTick(onclose);
   } else if (
     !writable &&
     (!willEmitClose || isWritable(stream)) &&
-    readableFinished
+    (readableFinished || !isReadable(stream))
   ) {
     process.nextTick(onclose);
   } else if ((rState && stream.req && stream.aborted)) {