diff --git a/lib/internal/http2/compat.js b/lib/internal/http2/compat.js
index 2523fb0ba37..462b0c51b88 100644
--- a/lib/internal/http2/compat.js
+++ b/lib/internal/http2/compat.js
@@ -97,46 +97,50 @@ function onStreamError(error) {
 }
 
 function onRequestPause() {
-  this[kStream].pause();
+  const stream = this[kStream];
+  if (stream)
+    stream.pause();
 }
 
 function onRequestResume() {
-  this[kStream].resume();
+  const stream = this[kStream];
+  if (stream)
+    stream.resume();
 }
 
-function onRequestDrain() {
-  if (this.isPaused())
-    this.resume();
-}
-
-function onStreamResponseDrain() {
+function onStreamDrain() {
   this[kResponse].emit('drain');
 }
 
+// TODO Http2Stream does not emit 'close'
 function onStreamClosedRequest() {
   this[kRequest].push(null);
 }
 
+// TODO Http2Stream does not emit 'close'
 function onStreamClosedResponse() {
-  const res = this[kResponse];
-  res.writable = false;
-  res.emit('finish');
+  this[kResponse].emit('finish');
 }
 
 function onStreamAbortedRequest(hadError, code) {
-  if ((this.writable) ||
-      (this._readableState && !this._readableState.ended)) {
-    this.emit('aborted', hadError, code);
-    this.emit('close');
+  const request = this[kRequest];
+  if (request[kState].closed === false) {
+    request.emit('aborted', hadError, code);
+    request.emit('close');
   }
 }
 
 function onStreamAbortedResponse() {
-  if (this.writable) {
-    this.emit('close');
+  const response = this[kResponse];
+  if (response[kState].closed === false) {
+    response.emit('close');
   }
 }
 
+function resumeStream(stream) {
+  stream.resume();
+}
+
 class Http2ServerRequest extends Readable {
   constructor(stream, headers, options, rawHeaders) {
     super(options);
@@ -158,13 +162,12 @@ class Http2ServerRequest extends Readable {
     stream.on('end', onStreamEnd);
     stream.on('error', onStreamError);
     stream.on('close', onStreamClosedRequest);
-    stream.on('aborted', onStreamAbortedRequest.bind(this));
+    stream.on('aborted', onStreamAbortedRequest);
     const onfinish = this[kFinish].bind(this);
     stream.on('streamClosed', onfinish);
     stream.on('finish', onfinish);
     this.on('pause', onRequestPause);
     this.on('resume', onRequestResume);
-    this.on('drain', onRequestDrain);
   }
 
   get closed() {
@@ -221,7 +224,7 @@ class Http2ServerRequest extends Readable {
   _read(nread) {
     const stream = this[kStream];
     if (stream !== undefined) {
-      stream.resume();
+      process.nextTick(resumeStream, stream);
     } else {
       this.emit('error', new errors.Error('ERR_HTTP2_STREAM_CLOSED'));
     }
@@ -279,9 +282,9 @@ class Http2ServerResponse extends Stream {
     this[kStream] = stream;
     stream[kResponse] = this;
     this.writable = true;
-    stream.on('drain', onStreamResponseDrain);
+    stream.on('drain', onStreamDrain);
     stream.on('close', onStreamClosedResponse);
-    stream.on('aborted', onStreamAbortedResponse.bind(this));
+    stream.on('aborted', onStreamAbortedResponse);
     const onfinish = this[kFinish].bind(this);
     stream.on('streamClosed', onfinish);
     stream.on('finish', onfinish);
diff --git a/test/parallel/test-http2-compat-serverrequest-pause.js b/test/parallel/test-http2-compat-serverrequest-pause.js
new file mode 100644
index 00000000000..60241815727
--- /dev/null
+++ b/test/parallel/test-http2-compat-serverrequest-pause.js
@@ -0,0 +1,53 @@
+// Flags: --expose-http2
+'use strict';
+
+const common = require('../common');
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+const assert = require('assert');
+const h2 = require('http2');
+
+// Check that pause & resume work as expected with Http2ServerRequest
+
+const testStr = 'Request Body from Client';
+
+const server = h2.createServer();
+
+server.on('request', common.mustCall((req, res) => {
+  let data = '';
+  req.pause();
+  req.setEncoding('utf8');
+  req.on('data', common.mustCall((chunk) => (data += chunk)));
+  setTimeout(common.mustCall(() => {
+    assert.strictEqual(data, '');
+    req.resume();
+  }), common.platformTimeout(100));
+  req.on('end', common.mustCall(() => {
+    assert.strictEqual(data, testStr);
+    res.end();
+  }));
+
+  // shouldn't throw if underlying Http2Stream no longer exists
+  res.on('finish', common.mustCall(() => process.nextTick(() => {
+    assert.doesNotThrow(() => req.pause());
+    assert.doesNotThrow(() => req.resume());
+  })));
+}));
+
+server.listen(0, common.mustCall(() => {
+  const port = server.address().port;
+
+  const client = h2.connect(`http://localhost:${port}`);
+  const request = client.request({
+    ':path': '/foobar',
+    ':method': 'POST',
+    ':scheme': 'http',
+    ':authority': `localhost:${port}`
+  });
+  request.resume();
+  request.end(testStr);
+  request.on('end', common.mustCall(function() {
+    client.destroy();
+    server.close();
+  }));
+}));
diff --git a/test/parallel/test-http2-compat-serverrequest-pipe.js b/test/parallel/test-http2-compat-serverrequest-pipe.js
new file mode 100644
index 00000000000..b952372841e
--- /dev/null
+++ b/test/parallel/test-http2-compat-serverrequest-pipe.js
@@ -0,0 +1,48 @@
+// Flags: --expose-http2
+'use strict';
+
+const common = require('../common');
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+const assert = require('assert');
+const http2 = require('http2');
+const fs = require('fs');
+const path = require('path');
+
+// piping should work as expected with createWriteStream
+
+const loc = path.join(common.fixturesDir, 'person.jpg');
+const fn = path.join(common.tmpDir, 'http2pipe.jpg');
+common.refreshTmpDir();
+
+const server = http2.createServer();
+
+server.on('request', common.mustCall((req, res) => {
+  const dest = req.pipe(fs.createWriteStream(fn));
+  dest.on('finish', common.mustCall(() => {
+    assert.deepStrictEqual(fs.readFileSync(loc), fs.readFileSync(fn));
+    fs.unlinkSync(fn);
+    res.end();
+  }));
+}));
+
+server.listen(0, common.mustCall(() => {
+  const port = server.address().port;
+  const client = http2.connect(`http://localhost:${port}`);
+
+  let remaining = 2;
+  function maybeClose() {
+    if (--remaining === 0) {
+      server.close();
+      client.destroy();
+    }
+  }
+
+  const req = client.request({ ':method': 'POST' });
+  req.on('response', common.mustCall());
+  req.resume();
+  req.on('end', common.mustCall(maybeClose));
+  const str = fs.createReadStream(loc);
+  str.on('end', common.mustCall(maybeClose));
+  str.pipe(req);
+}));
diff --git a/test/parallel/test-http2-compat-serverresponse-drain.js b/test/parallel/test-http2-compat-serverresponse-drain.js
new file mode 100644
index 00000000000..312b7c75ab6
--- /dev/null
+++ b/test/parallel/test-http2-compat-serverresponse-drain.js
@@ -0,0 +1,44 @@
+// Flags: --expose-http2
+'use strict';
+
+const common = require('../common');
+if (!common.hasCrypto)
+  common.skip('missing crypto');
+const assert = require('assert');
+const h2 = require('http2');
+
+// Check that drain event is passed from Http2Stream
+
+const testString = 'tests';
+
+const server = h2.createServer();
+
+server.on('request', common.mustCall((req, res) => {
+  res.stream._writableState.highWaterMark = testString.length;
+  assert.strictEqual(res.write(testString), false);
+  res.on('drain', common.mustCall(() => res.end(testString)));
+}));
+
+server.listen(0, common.mustCall(() => {
+  const port = server.address().port;
+
+  const client = h2.connect(`http://localhost:${port}`);
+  const request = client.request({
+    ':path': '/foobar',
+    ':method': 'POST',
+    ':scheme': 'http',
+    ':authority': `localhost:${port}`
+  });
+  request.resume();
+  request.end();
+
+  let data = '';
+  request.setEncoding('utf8');
+  request.on('data', (chunk) => (data += chunk));
+
+  request.on('end', common.mustCall(function() {
+    assert.strictEqual(data, testString.repeat(2));
+    client.destroy();
+    server.close();
+  }));
+}));