diff --git a/Lib/test/pickletester.py b/Lib/test/pickletester.py
index 74b82caf742f20..93e7dbbd103934 100644
--- a/Lib/test/pickletester.py
+++ b/Lib/test/pickletester.py
@@ -2437,7 +2437,7 @@ def test_bad_getattr(self):
         # Issue #3514: crash when there is an infinite loop in __getattr__
         x = BadGetattr()
         for proto in range(2):
-            with support.infinite_recursion():
+            with support.infinite_recursion(25):
                 self.assertRaises(RuntimeError, self.dumps, x, proto)
         for proto in range(2, pickle.HIGHEST_PROTOCOL + 1):
             s = self.dumps(x, proto)
diff --git a/Misc/NEWS.d/next/Tests/2024-01-12-12-45-24.gh-issue-111802.gN41vt.rst b/Misc/NEWS.d/next/Tests/2024-01-12-12-45-24.gh-issue-111802.gN41vt.rst
new file mode 100644
index 00000000000000..7ebcbff1b9b80d
--- /dev/null
+++ b/Misc/NEWS.d/next/Tests/2024-01-12-12-45-24.gh-issue-111802.gN41vt.rst
@@ -0,0 +1,3 @@
+Specify a low recursion depth for ``test_bad_getattr()`` in
+``test.pickletester`` to avoid exhausting the stack under a pydebug build
+for WASI.