diff --git a/test/tests/mortar/convergence-studies/gap-conductance/tests b/test/tests/mortar/convergence-studies/gap-conductance/tests
index 6a2118fbc104..5c148e345bcf 100644
--- a/test/tests/mortar/convergence-studies/gap-conductance/tests
+++ b/test/tests/mortar/convergence-studies/gap-conductance/tests
@@ -8,6 +8,7 @@
     requirement = 'The system shall be able to demonstrate asymptotically correct convergence rates of 3 and 3 for a mortar gap-conductance problem with equal, coarse-secondary, and coarse-primary geometric discretizations when using a second order basis for the temperature variable and a second order basis for the Lagrange multiplier.'
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
+    heavy = True
   []
   [p2p1]
     type = PythonUnitTest
@@ -16,6 +17,7 @@
     requirement = 'The system shall be able to demonstrate asymptotically correct convergence rates of 3 and 2 for a mortar gap-conductance problem with equal, coarse-secondary, and coarse-primary geometric discretizations when using a second order basis for the temperature variable and a first order basis for the Lagrange multiplier.'
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
+    heavy = True
   []
   [p2p0]
     type = PythonUnitTest
@@ -24,6 +26,7 @@
     requirement = 'The system shall be able to demonstrate asymptotically correct convergence rates of 2 and 1 for a mortar gap-conductance problem with equal, coarse-secondary, and coarse-primary geometric discretizations when using a second order basis for the temperature variable and a zeroth order basis for the Lagrange multiplier.'
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
+    heavy = True
   []
   [p1p1]
     type = PythonUnitTest
@@ -32,6 +35,7 @@
     requirement = 'The system shall be able to demonstrate asymptotically correct convergence rates of 2 and 2 for a mortar gap-conductance problem with equal, coarse-secondary, and coarse-primary geometric discretizations when using a first order basis for the temperature variable and a first order basis for the Lagrange multiplier.'
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
+    heavy = True
   []
   [p1p0]
     type = PythonUnitTest
@@ -40,5 +44,6 @@
     requirement = 'The system shall be able to demonstrate asymptotically correct convergence rates of 2 and 1 for a mortar gap-conductance problem with equal, coarse-secondary, and coarse-primary geometric discretizations when using a first order basis for the temperature variable and a zeroth order basis for the Lagrange multiplier.'
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
+    heavy = True
   []
 []
diff --git a/test/tests/mortar/convergence-studies/solution-continuity/tests b/test/tests/mortar/convergence-studies/solution-continuity/tests
index 929509d93f0e..1375dd8f2330 100644
--- a/test/tests/mortar/convergence-studies/solution-continuity/tests
+++ b/test/tests/mortar/convergence-studies/solution-continuity/tests
@@ -9,6 +9,7 @@
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
     mumps = 'TRUE'
+    heavy = True
   []
   [p2p1]
     type = PythonUnitTest
@@ -18,6 +19,7 @@
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
     mumps = 'TRUE'
+    heavy = True
   []
   [p2p0]
     type = PythonUnitTest
@@ -27,6 +29,7 @@
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
     mumps = 'TRUE'
+    heavy = True
   []
   [p1p1]
     type = PythonUnitTest
@@ -36,6 +39,7 @@
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
     mumps = 'TRUE'
+    heavy = True
   []
   [p1p0]
     type = PythonUnitTest
@@ -45,5 +49,6 @@
     method = '!dbg'
     required_python_packages = 'sympy pandas matplotlib'
     mumps = 'TRUE'
+    heavy = True
   []
 []