diff --git a/Tests/Data/Mechanics/CooksMembrane/CooksMembrane.prj b/Tests/Data/Mechanics/CooksMembrane/CooksMembrane.prj
index d2b5223a089..1f459266be7 100644
--- a/Tests/Data/Mechanics/CooksMembrane/CooksMembrane.prj
+++ b/Tests/Data/Mechanics/CooksMembrane/CooksMembrane.prj
@@ -180,7 +180,7 @@
         <vtkdiff>
             <file>cooks_membrane_sd_edge_div_4_ts_1_t_1.000000.vtu</file>
             <field>epsilon</field>
-            <absolute_tolerance>1e-14</absolute_tolerance>
+            <absolute_tolerance>2e-14</absolute_tolerance>
             <relative_tolerance>1e-12</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/ThermoRichardsMechanics/MFront/ThermoPoroElasticity/uniaxial_isothermal_drainage_imbibition_basic_mfront_model_ctest.xml b/Tests/Data/ThermoRichardsMechanics/MFront/ThermoPoroElasticity/uniaxial_isothermal_drainage_imbibition_basic_mfront_model_ctest.xml
index 50638053181..741ebae5007 100644
--- a/Tests/Data/ThermoRichardsMechanics/MFront/ThermoPoroElasticity/uniaxial_isothermal_drainage_imbibition_basic_mfront_model_ctest.xml
+++ b/Tests/Data/ThermoRichardsMechanics/MFront/ThermoPoroElasticity/uniaxial_isothermal_drainage_imbibition_basic_mfront_model_ctest.xml
@@ -54,7 +54,7 @@
             <vtkdiff>
                 <regex>uniaxial_isothermal_drainage_imbibition_basic_mfront_model_ts_.*.vtu</regex>
                 <field>sigma</field>
-                <absolute_tolerance>3e-7</absolute_tolerance>
+                <absolute_tolerance>4e-7</absolute_tolerance>
                 <relative_tolerance>0</relative_tolerance>
             </vtkdiff>
             <vtkdiff>