diff --git a/Tests/Data/Mechanics/Ehlers/cube_1e0.prj b/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
index 2180a17b6f0..d961d6004c0 100644
--- a/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
+++ b/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
@@ -333,7 +333,7 @@
         <vtkdiff>
             <file>cube_1e0_ts_101_t_2.550000.vtu</file>
             <field>displacement</field>
-            <absolute_tolerance>3e-16</absolute_tolerance>
+            <absolute_tolerance>5e-16</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
@@ -345,7 +345,7 @@
         <vtkdiff>
             <file>cube_1e0_ts_203_t_5.100000.vtu</file>
             <field>displacement</field>
-            <absolute_tolerance>3e-16</absolute_tolerance>
+            <absolute_tolerance>5e-16</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/TH2M/HM/flow_fully_saturated.prj b/Tests/Data/TH2M/HM/flow_fully_saturated.prj
index 4c1072d2563..4eaedd74459 100644
--- a/Tests/Data/TH2M/HM/flow_fully_saturated.prj
+++ b/Tests/Data/TH2M/HM/flow_fully_saturated.prj
@@ -498,7 +498,7 @@
         <vtkdiff>
             <regex>flow_fully_saturated_ts_.*.vtu</regex>
             <field>HeatFlowRate</field>
-            <absolute_tolerance>3e-13</absolute_tolerance>
+            <absolute_tolerance>4e-13</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>