diff --git a/lib/_stream_readable.js b/lib/_stream_readable.js
index c5b62582aebad7..9f53da30b8ad72 100644
--- a/lib/_stream_readable.js
+++ b/lib/_stream_readable.js
@@ -705,6 +705,9 @@ Readable.prototype.pipe = function(dest, pipeOpts) {
         debug('false write response, pause', state.awaitDrain);
         state.awaitDrain++;
       }
+      if (!cleanedUp) {
+        src.pause();
+      }
       if (!ondrain) {
         // When the dest drains, it reduces the awaitDrain counter
         // on the source.  This would be more elegant with a .once()
@@ -713,7 +716,6 @@ Readable.prototype.pipe = function(dest, pipeOpts) {
         ondrain = pipeOnDrain(src);
         dest.on('drain', ondrain);
       }
-      src.pause();
     }
   }
 
diff --git a/test/parallel/test-stream-readable-unpipe-resume.js b/test/parallel/test-stream-readable-unpipe-resume.js
new file mode 100644
index 00000000000000..b40f724bccfc83
--- /dev/null
+++ b/test/parallel/test-stream-readable-unpipe-resume.js
@@ -0,0 +1,20 @@
+'use strict';
+
+const common = require('../common');
+const stream = require('stream');
+const fs = require('fs');
+
+const readStream = fs.createReadStream(process.execPath);
+
+const transformStream = new stream.Transform({
+  transform: common.mustCall(() => {
+    readStream.unpipe();
+    readStream.resume();
+  })
+});
+
+readStream.on('end', common.mustCall());
+
+readStream
+  .pipe(transformStream)
+  .resume();