diff --git a/src/module_wrap.cc b/src/module_wrap.cc
index 576cc3123a8138..b1fbbee5257400 100644
--- a/src/module_wrap.cc
+++ b/src/module_wrap.cc
@@ -64,6 +64,7 @@ ModuleWrap::ModuleWrap(Environment* env,
   if (!synthetic_evaluation_step->IsUndefined()) {
     synthetic_ = true;
   }
+  MakeWeak();
 }
 
 ModuleWrap::~ModuleWrap() {
diff --git a/test/es-module/test-vm-synthetic-module-leak.js b/test/es-module/test-vm-synthetic-module-leak.js
new file mode 100644
index 00000000000000..9de02cb22f1128
--- /dev/null
+++ b/test/es-module/test-vm-synthetic-module-leak.js
@@ -0,0 +1,23 @@
+// Flags: --experimental-vm-modules --max-old-space-size=16
+'use strict';
+
+// This tests that vm.SyntheticModule does not leak.
+// See https://github.com/nodejs/node/issues/44211
+require('../common');
+const vm = require('vm');
+
+let count = 0;
+async function createModule() {
+  // Try to reach the maximum old space size.
+  const m = new vm.SyntheticModule(['bar'], () => {
+    m.setExport('bar', new Array(512).fill('----'));
+  });
+  await m.link(() => {});
+  await m.evaluate();
+  if (count++ < 4 * 1024) {
+    setTimeout(createModule, 1);
+  }
+  return m;
+}
+
+createModule();