diff --git a/sumpy/expansion/level_to_order.py b/sumpy/expansion/level_to_order.py
index 75a5a6c225c4b6733256c033bebadb6bcbaddd86..44d86ee236a8db894f76320516552c6b69588c69 100644
--- a/sumpy/expansion/level_to_order.py
+++ b/sumpy/expansion/level_to_order.py
@@ -169,7 +169,7 @@ class SimpleExpansionOrderFinder(object):
 
                 helm_order += 1
 
-                if helm_order > 500:
+                if helm_order > 10000:
                     raise ValueError("unable to find suitable order estimate "
                             "for Helmholtz expansion")
         else: