diff --git a/cli/tests/integration/run_tests.rs b/cli/tests/integration/run_tests.rs
index 5116db29510352..8c196d6e35beb8 100644
--- a/cli/tests/integration/run_tests.rs
+++ b/cli/tests/integration/run_tests.rs
@@ -1194,6 +1194,11 @@ itest!(worker_drop_handle_race {
   exit_code: 1,
 });
 
+itest!(worker_close_nested {
+  args: "run --quiet --reload --allow-read worker_close_nested.js",
+  output: "worker_close_nested.js.out",
+});
+
 itest!(worker_message_before_close {
   args: "run --quiet --reload --allow-read worker_message_before_close.js",
   output: "worker_message_before_close.js.out",
diff --git a/cli/tests/testdata/worker_close_nested.js b/cli/tests/testdata/worker_close_nested.js
new file mode 100644
index 00000000000000..fd47a5ae44fcf5
--- /dev/null
+++ b/cli/tests/testdata/worker_close_nested.js
@@ -0,0 +1,20 @@
+// Copyright 2018-2021 the Deno authors. All rights reserved. MIT license.
+
+// Test that closing a worker which has living child workers will automatically
+// close the children.
+
+console.log("Starting the main thread");
+
+const worker = new Worker(
+  new URL("./workers/close_nested_parent.js", import.meta.url),
+  { type: "module" },
+);
+
+setTimeout(() => {
+  console.log("About to close");
+  worker.postMessage({});
+
+  // Keep the process running for another two seconds, to make sure there's no
+  // output from the child worker.
+  setTimeout(() => {}, 2000);
+}, 1000);
diff --git a/cli/tests/testdata/worker_close_nested.js.out b/cli/tests/testdata/worker_close_nested.js.out
new file mode 100644
index 00000000000000..496bc625109ee9
--- /dev/null
+++ b/cli/tests/testdata/worker_close_nested.js.out
@@ -0,0 +1,5 @@
+Starting the main thread
+Starting the parent worker
+Starting the child worker
+About to close
+Closing
diff --git a/cli/tests/testdata/workers/close_nested_child.js b/cli/tests/testdata/workers/close_nested_child.js
new file mode 100644
index 00000000000000..627a176aa32c94
--- /dev/null
+++ b/cli/tests/testdata/workers/close_nested_child.js
@@ -0,0 +1,7 @@
+// Copyright 2018-2021 the Deno authors. All rights reserved. MIT license.
+
+console.log("Starting the child worker");
+
+setTimeout(() => {
+  console.log("The child worker survived the death of the parent!!!");
+}, 2000);
diff --git a/cli/tests/testdata/workers/close_nested_parent.js b/cli/tests/testdata/workers/close_nested_parent.js
new file mode 100644
index 00000000000000..c528632ce8a5eb
--- /dev/null
+++ b/cli/tests/testdata/workers/close_nested_parent.js
@@ -0,0 +1,13 @@
+// Copyright 2018-2021 the Deno authors. All rights reserved. MIT license.
+
+console.log("Starting the parent worker");
+
+new Worker(
+  new URL("./close_nested_child.js", import.meta.url),
+  { type: "module" },
+);
+
+self.addEventListener("message", () => {
+  console.log("Closing");
+  self.close();
+});