diff --git a/src/sage/combinat/alternating_sign_matrix.py b/src/sage/combinat/alternating_sign_matrix.py
index c3b690f5bdd..7dc60852255 100644
--- a/src/sage/combinat/alternating_sign_matrix.py
+++ b/src/sage/combinat/alternating_sign_matrix.py
@@ -604,7 +604,7 @@ def gyration(self):
             [0 0 1 0]
 
             sage: a0 = a = AlternatingSignMatrices(5).random_element()
-            sage: for i in range(10):
+            sage: for i in range(20):
             ....:     a = a.gyration()
             sage: a == a0
             True