diff --git a/lib/internal/streams/readable.js b/lib/internal/streams/readable.js
index 57aa71817e4fba..9c2a15ecabe216 100644
--- a/lib/internal/streams/readable.js
+++ b/lib/internal/streams/readable.js
@@ -111,6 +111,7 @@ const kErroredValue = Symbol('kErroredValue');
 const kDefaultEncodingValue = Symbol('kDefaultEncodingValue');
 const kDecoderValue = Symbol('kDecoderValue');
 const kEncodingValue = Symbol('kEncodingValue');
+const kPipeData = Symbol('kPipeData');
 
 const kEnded = 1 << 9;
 const kEndEmitted = 1 << 10;
@@ -131,6 +132,7 @@ const kFlowing = 1 << 24;
 const kHasPaused = 1 << 25;
 const kPaused = 1 << 26;
 const kDataListening = 1 << 27;
+const kHasPipeData = 1 << 28;
 
 // TODO(benjamingr) it is likely slower to do it this way than with free functions
 function makeBitMapDescriptor(bit) {
@@ -565,7 +567,12 @@ function addChunk(stream, state, chunk, addToFront) {
     }
 
     state[kState] |= kDataEmitted;
-    stream.emit('data', chunk);
+    if ((state[kState] & kHasPipeData) !== 0 &&
+        stream._events.data === state[kPipeData]) {
+      state[kPipeData](chunk);
+    } else {
+      stream.emit('data', chunk);
+    }
   } else {
     // Update the buffer info.
     state.length += (state[kState] & kObjectMode) !== 0 ? 1 : chunk.length;
@@ -791,7 +798,12 @@ Readable.prototype.read = function(n) {
 
   if (ret !== null && (state[kState] & (kErrorEmitted | kCloseEmitted)) === 0) {
     state[kState] |= kDataEmitted;
-    this.emit('data', ret);
+    if ((state[kState] & kHasPipeData) !== 0 &&
+        this._events.data === state[kPipeData]) {
+      state[kPipeData](ret);
+    } else {
+      this.emit('data', ret);
+    }
   }
 
   return ret;
@@ -976,6 +988,8 @@ Readable.prototype.pipe = function(dest, pipeOpts) {
     src.removeListener('end', onend);
     src.removeListener('end', unpipe);
     src.removeListener('data', ondata);
+    if (state[kPipeData] === ondata)
+      state[kState] &= ~kHasPipeData;
 
     cleanedUp = true;
 
@@ -1016,6 +1030,10 @@ Readable.prototype.pipe = function(dest, pipeOpts) {
   }
 
   src.on('data', ondata);
+  if (src._events.data === ondata) {
+    state[kPipeData] = ondata;
+    state[kState] |= kHasPipeData;
+  }
   function ondata(chunk) {
     debug('ondata');
     try {
diff --git a/test/parallel/test-stream2-basic.js b/test/parallel/test-stream2-basic.js
index f51009241da56e..a1dc9058b00e72 100644
--- a/test/parallel/test-stream2-basic.js
+++ b/test/parallel/test-stream2-basic.js
@@ -146,6 +146,75 @@ class TestWriter extends EE {
   r.pipe(w);
 }
 
+{
+  // Verify data listener ordering around pipe.
+  function makeWritable(events) {
+    return new W({
+      write(chunk, enc, cb) {
+        events.push('write');
+        cb();
+      },
+    });
+  }
+
+  {
+    const events = [];
+    const r = R.from(['x']);
+    const w = makeWritable(events);
+
+    r.on('data', () => events.push('data'));
+    r.pipe(w);
+    w.on('finish', common.mustCall(() => {
+      assert.deepStrictEqual(events, ['data', 'write']);
+    }));
+  }
+
+  {
+    const events = [];
+    const r = R.from(['x']);
+    const w = makeWritable(events);
+
+    r.pipe(w);
+    r.on('data', () => events.push('data'));
+    w.on('finish', common.mustCall(() => {
+      assert.deepStrictEqual(events, ['write', 'data']);
+    }));
+  }
+
+  {
+    const events = [];
+    const r = R.from(['x']);
+    const w = makeWritable(events);
+
+    r.pipe(w);
+    r.prependListener('data', () => events.push('data'));
+    w.on('finish', common.mustCall(() => {
+      assert.deepStrictEqual(events, ['data', 'write']);
+    }));
+  }
+
+  {
+    const events = [];
+    const r = R.from(['a', 'b']);
+    const w = new W({
+      write: common.mustCall((chunk, enc, cb) => {
+        events.push(`write:${chunk}`);
+        if (String(chunk) === 'a') {
+          r.on('data', common.mustCall((chunk) => {
+            events.push(`data:${chunk}`);
+          }));
+        }
+        cb();
+      }, 2),
+    });
+
+    r.pipe(w);
+    w.on('finish', common.mustCall(() => {
+      assert.deepStrictEqual(events, ['write:a', 'write:b', 'data:b']);
+    }));
+  }
+}
+
 
 [1, 2, 3, 4, 5, 6, 7, 8, 9].forEach(function(SPLIT) {
   // Verify unpipe