diff --git a/tests/constitutive_tests/test_blade_sitffened_shell_constitutive.py b/tests/constitutive_tests/test_blade_sitffened_shell_constitutive.py
index f5479eb12..8e66d681f 100644
--- a/tests/constitutive_tests/test_blade_sitffened_shell_constitutive.py
+++ b/tests/constitutive_tests/test_blade_sitffened_shell_constitutive.py
@@ -14,7 +14,7 @@ def setUp(self):
             self.dh = 1e-200
             self.rtol = 1e-9
         else:
-            self.dh = 1e-6
+            self.dh = 1e-8
             self.rtol = 1e-1
         self.dtype = TACS.dtype
 
diff --git a/tests/constitutive_tests/test_composite_shell_constitutive.py b/tests/constitutive_tests/test_composite_shell_constitutive.py
index d591bab02..53a86e007 100644
--- a/tests/constitutive_tests/test_composite_shell_constitutive.py
+++ b/tests/constitutive_tests/test_composite_shell_constitutive.py
@@ -14,7 +14,7 @@ def setUp(self):
             self.dh = 1e-50
             self.rtol = 1e-9
         else:
-            self.dh = 1e-6
+            self.dh = 1e-8
             self.rtol = 1e-1
         self.dtype = TACS.dtype