diff --git a/tests/external_function/no_deriv_given_dll.mod b/tests/external_function/no_deriv_given_dll.mod
index 5ad3bcc2e..8c2ed920a 100644
--- a/tests/external_function/no_deriv_given_dll.mod
+++ b/tests/external_function/no_deriv_given_dll.mod
@@ -55,7 +55,7 @@ end
 if max(max(abs(L.oo_.dr.ghxu - oo_.dr.ghxu))) > 1e-4
   error('Failure in external function')
 end
-if max(max(abs(L.oo_.dr.ghxx - oo_.dr.ghxx))) > 1e-3
+if max(max(abs(L.oo_.dr.ghxx - oo_.dr.ghxx))) > 2e-3
   error('Failure in external function')
 end
 if max(max(abs(L.oo_.dr.ghuu - oo_.dr.ghuu))) > 1e-5