diff --git a/Doc/library/itertools.rst b/Doc/library/itertools.rst
index 2fd30db0587f..5fe93fd3e0e5 100644
--- a/Doc/library/itertools.rst
+++ b/Doc/library/itertools.rst
@@ -875,9 +875,12 @@ which incur interpreter overhead.
        except AttributeError:
            # Slow path for general iterables
            it = islice(iterable, start, None)
-           for i, element in enumerate(it, start):
-               if element is value or element == value:
-                   yield i
+           i = start - 1
+           try:
+               while True:
+                   yield (i := i + operator.indexOf(it, value) + 1)
+           except ValueError:
+               pass
        else:
            # Fast path for sequences
            i = start - 1
diff --git a/Lib/test/test_operator.py b/Lib/test/test_operator.py
index b7e38c233498..1db738d228b1 100644
--- a/Lib/test/test_operator.py
+++ b/Lib/test/test_operator.py
@@ -208,6 +208,9 @@ def test_indexOf(self):
         nan = float("nan")
         self.assertEqual(operator.indexOf([nan, nan, 21], nan), 0)
         self.assertEqual(operator.indexOf([{}, 1, {}, 2], {}), 0)
+        it = iter('leave the iterator at exactly the position after the match')
+        self.assertEqual(operator.indexOf(it, 'a'), 2)
+        self.assertEqual(next(it), 'v')
 
     def test_invert(self):
         operator = self.module