diff --git a/lib/internal/perf/timerify.js b/lib/internal/perf/timerify.js
index 6bfede7aa1fa20..f7c66af9193470 100644
--- a/lib/internal/perf/timerify.js
+++ b/lib/internal/perf/timerify.js
@@ -1,7 +1,6 @@
 'use strict';
 
 const {
-  FunctionPrototypeBind,
   ObjectDefineProperties,
   MathCeil,
   ReflectApply,
@@ -75,18 +74,17 @@ function timerify(fn, options = {}) {
     const result = constructor ?
       ReflectConstruct(fn, args, fn) :
       ReflectApply(fn, this, args);
-    if (!constructor && typeof result?.finally === 'function') {
-      return result.finally(
-        FunctionPrototypeBind(
-          processComplete,
-          result,
-          fn.name,
-          start,
-          args,
-          histogram));
+    if (!constructor && typeof result?.then === 'function') {
+      return result.then(
+        function wrappedTimerifiedPromise(value) {
+          processComplete(fn.name, start, args, histogram);
+          return value;
+        }
+      );
     }
     processComplete(fn.name, start, args, histogram);
     return result;
+
   }
 
   ObjectDefineProperties(timerified, {
diff --git a/test/parallel/test-performance-function.js b/test/parallel/test-performance-function.js
index fcc3004d02884a..2160f828c97ddd 100644
--- a/test/parallel/test-performance-function.js
+++ b/test/parallel/test-performance-function.js
@@ -89,6 +89,20 @@ const {
   assert.strictEqual(p.name, 'timerified timerified m');
 }
 
+// Function
+{
+  const f1 = () => 1;
+  const f2 = async () => 2;
+  const h1 = createHistogram();
+  const h2 = createHistogram();
+  const g1 = performance.timerify(f1, { histogram: h1 });
+  const g2 = performance.timerify(f2, { histogram: h2 });
+  g1();
+  g2().then(common.mustCall(() => {
+    assert.strictEqual(h1.count, h2.count);
+  }));
+}
+
 (async () => {
   const histogram = createHistogram();
   const m = (a, b = 1) => {};