diff --git a/Doc/library/itertools.rst b/Doc/library/itertools.rst
index 9a5cb8be37d3496..6205d27335ffe28 100644
--- a/Doc/library/itertools.rst
+++ b/Doc/library/itertools.rst
@@ -504,24 +504,20 @@ loops that truncate the stream.
           # islice('ABCDEFG', 2, None) → C D E F G
           # islice('ABCDEFG', 0, None, 2) → A C E G
           s = slice(*args)
-          start, stop, step = s.start or 0, s.stop or sys.maxsize, s.step or 1
-          it = iter(range(start, stop, step))
-          try:
-              nexti = next(it)
-          except StopIteration:
-              # Consume *iterable* up to the *start* position.
-              for i, element in zip(range(start), iterable):
-                  pass
+          start = s.start if s.start is not None else 0
+          stop = s.stop
+          step = s.step if s.step is not None else 1
+          it = iter(iterable)
+          for _ in zip(range(start), it):
+              # Consume up to *start* position
+              pass
+          if stop is not None and stop <= start:
               return
-          try:
-              for i, element in enumerate(iterable):
-                  if i == nexti:
-                      yield element
-                      nexti = next(it)
-          except StopIteration:
-              # Consume to *stop*.
-              for i, element in zip(range(i + 1, stop), iterable):
-                  pass
+          for i, element in enumerate(it, start):
+              if (i - start) % step == 0:
+                  yield element
+              if stop is not None and i + 1 >= stop:
+                  return
 
 
 .. function:: pairwise(iterable)