diff --git a/src/sage/algebras/lie_algebras/representation.py b/src/sage/algebras/lie_algebras/representation.py
index bebd13a65c7..685b6860e87 100644
--- a/src/sage/algebras/lie_algebras/representation.py
+++ b/src/sage/algebras/lie_algebras/representation.py
@@ -87,6 +87,8 @@ def _test_representation(self, **options):
         tester = self._tester(**options)
         S = tester.some_elements()
         elts = self._lie_algebra.basis()
+        if elts.cardinality() == float('inf'):
+            elts = list(elts.some_elements())
         from sage.misc.misc import some_tuples
         for x, y in some_tuples(elts, 2, tester._max_runs):
             for v in S: