diff --git a/Tests/Data/Mechanics/EhlersDamageNonLocal/holed_beam/holed_beam.prj b/Tests/Data/Mechanics/EhlersDamageNonLocal/holed_beam/holed_beam.prj
index df0bd056285..be94517b8eb 100644
--- a/Tests/Data/Mechanics/EhlersDamageNonLocal/holed_beam/holed_beam.prj
+++ b/Tests/Data/Mechanics/EhlersDamageNonLocal/holed_beam/holed_beam.prj
@@ -326,7 +326,7 @@
         <vtkdiff>
             <file>out_beam_hole_ED_ts_200_t_0.500000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>5e-7</absolute_tolerance>
+            <absolute_tolerance>5.3e-7</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_quasinewton.prj b/Tests/Data/RichardsMechanics/RichardsFlow_2d_quasinewton.prj
index 50d7e2ddb53..5564e8a1c51 100644
--- a/Tests/Data/RichardsMechanics/RichardsFlow_2d_quasinewton.prj
+++ b/Tests/Data/RichardsMechanics/RichardsFlow_2d_quasinewton.prj
@@ -355,7 +355,7 @@
         <vtkdiff>
             <regex>RichardsFlow_2d_quasinewton_ts_.*.vtu</regex>
             <field>NodalForces</field>
-            <absolute_tolerance>4e-13</absolute_tolerance>
+            <absolute_tolerance>4.1e-13</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
     </test_definition>