diff --git a/lib/_http_outgoing.js b/lib/_http_outgoing.js
index e331d073b57067..c3bfbd09bfca0c 100644
--- a/lib/_http_outgoing.js
+++ b/lib/_http_outgoing.js
@@ -32,6 +32,7 @@ const {
 
 const { getDefaultHighWaterMark } = require('internal/streams/state');
 const assert = require('internal/assert');
+const EE = require('events');
 const Stream = require('stream');
 const internalUtil = require('internal/util');
 const { kOutHeaders, utcDate, kNeedDrain } = require('internal/http');
@@ -884,6 +885,11 @@ OutgoingMessage.prototype.pipe = function pipe() {
   this.emit('error', new ERR_STREAM_CANNOT_PIPE());
 };
 
+OutgoingMessage.prototype[EE.captureRejectionSymbol] =
+function(err, event) {
+  this.destroy(err);
+};
+
 module.exports = {
   OutgoingMessage
 };
diff --git a/test/parallel/test-http-outgoing-message-capture-rejection.js b/test/parallel/test-http-outgoing-message-capture-rejection.js
new file mode 100644
index 00000000000000..5f667ea17ea156
--- /dev/null
+++ b/test/parallel/test-http-outgoing-message-capture-rejection.js
@@ -0,0 +1,89 @@
+'use strict';
+
+const common = require('../common');
+const assert = require('assert');
+const events = require('events');
+const { createServer, request } = require('http');
+
+events.captureRejections = true;
+
+{
+  const server = createServer(common.mustCall((req, res) => {
+    const _err = new Error('kaboom');
+    res.on('drain', common.mustCall(async () => {
+      throw _err;
+    }));
+
+    res.socket.on('error', common.mustCall((err) => {
+      assert.strictEqual(err, _err);
+    }));
+
+    // Write until there is space in the buffer
+    while (res.write('hello')) {}
+  }));
+
+  server.listen(0, common.mustCall(() => {
+    const req = request({
+      method: 'GET',
+      host: server.address().host,
+      port: server.address().port
+    });
+
+    req.end();
+
+    req.on('response', common.mustCall((res) => {
+      res.on('aborted', common.mustCall());
+      res.resume();
+      server.close();
+    }));
+  }));
+}
+
+{
+  let _res;
+  let shouldEnd = false;
+  // Not using mustCall here, because it is OS-dependant.
+  const server = createServer((req, res) => {
+    // So that we cleanly stop
+    _res = res;
+
+    if (shouldEnd) {
+      res.end();
+    }
+  });
+
+  server.listen(0, common.mustCall(() => {
+    const _err = new Error('kaboom');
+
+    const req = request({
+      method: 'POST',
+      host: server.address().host,
+      port: server.address().port
+    });
+
+    req.on('response', common.mustNotCall((res) => {
+      // So that we cleanly stop
+      res.resume();
+      server.close();
+    }));
+
+    req.on('error', common.mustCall((err) => {
+      server.close();
+      // On some variants of Windows, this can happen before
+      // the server has received the request.
+      if (_res) {
+        _res.end();
+      } else {
+        shouldEnd = true;
+      }
+      assert.strictEqual(err, _err);
+    }));
+
+    req.on('drain', common.mustCall(async () => {
+      throw _err;
+    }));
+
+    // Write until there is space in the buffer
+    while (req.write('hello')) {}
+  }));
+}