diff --git a/tests/firedrake/adjoint/test_optimisation.py b/tests/firedrake/adjoint/test_optimisation.py
index da1ce48050..b45673e062 100644
--- a/tests/firedrake/adjoint/test_optimisation.py
+++ b/tests/firedrake/adjoint/test_optimisation.py
@@ -62,7 +62,7 @@ def minimize_tao_lmvm(rf):
                                  "tao_converged_reason": None,
                                  "tao_gatol": 1.0e-5,
                                  "tao_grtol": 0.0,
-                                 "tao_gttol": 1.0e-6,
+                                 "tao_gttol": 1.0e-7,
                                  "tao_monitor": None})
     return solver.solve()
 
@@ -74,7 +74,7 @@ def minimize_tao_nls(rf):
                                  "tao_converged_reason": None,
                                  "tao_gatol": 1.0e-5,
                                  "tao_grtol": 0.0,
-                                 "tao_gttol": 1.0e-6,
+                                 "tao_gttol": 1.0e-7,
                                  "tao_monitor": None})
     return solver.solve()