diff --git a/tests/integration/test_models/test_full_battery_models/test_lithium_ion/base_lithium_ion_half_cell_tests.py b/tests/integration/test_models/test_full_battery_models/test_lithium_ion/base_lithium_ion_half_cell_tests.py
index 2c30f5952e..b74bdb0a61 100644
--- a/tests/integration/test_models/test_full_battery_models/test_lithium_ion/base_lithium_ion_half_cell_tests.py
+++ b/tests/integration/test_models/test_full_battery_models/test_lithium_ion/base_lithium_ion_half_cell_tests.py
@@ -55,7 +55,14 @@ def test_sei_reaction_limited(self):
 
     def test_sei_asymmetric_reaction_limited(self):
         options = {"SEI": "reaction limited (asymmetric)"}
-        self.run_basic_processing_test(options)
+        parameter_values = pybamm.ParameterValues("Xu2019")
+        parameter_values.update(
+            {
+                "SEI growth transfer coefficient": 0.2
+            },
+            check_already_exists=False,
+        )
+        self.run_basic_processing_test(options, parameter_values=parameter_values)
 
     def test_sei_solvent_diffusion_limited(self):
         options = {"SEI": "solvent-diffusion limited"}
@@ -75,7 +82,14 @@ def test_sei_ec_reaction_limited(self):
 
     def test_sei_asymmetric_ec_reaction_limited(self):
         options = {"SEI": "ec reaction limited (asymmetric)"}
-        self.run_basic_processing_test(options)
+        parameter_values = pybamm.ParameterValues("Xu2019")
+        parameter_values.update(
+            {
+                "SEI growth transfer coefficient": 0.2
+            },
+            check_already_exists=False,
+        )
+        self.run_basic_processing_test(options, parameter_values=parameter_values)
 
     def test_constant_utilisation(self):
         options = {"interface utilisation": "constant"}
diff --git a/tests/integration/test_models/test_full_battery_models/test_lithium_ion/base_lithium_ion_tests.py b/tests/integration/test_models/test_full_battery_models/test_lithium_ion/base_lithium_ion_tests.py
index b591dd40aa..7719bc399b 100644
--- a/tests/integration/test_models/test_full_battery_models/test_lithium_ion/base_lithium_ion_tests.py
+++ b/tests/integration/test_models/test_full_battery_models/test_lithium_ion/base_lithium_ion_tests.py
@@ -171,7 +171,14 @@ def test_sei_reaction_limited(self):
 
     def test_sei_asymmetric_reaction_limited(self):
         options = {"SEI": "reaction limited (asymmetric)"}
-        self.run_basic_processing_test(options)
+        parameter_values = pybamm.ParameterValues("Xu2019")
+        parameter_values.update(
+            {
+                "SEI growth transfer coefficient": 0.2
+            },
+            check_already_exists=False,
+        )
+        self.run_basic_processing_test(options, parameter_values=parameter_values)
 
     def test_sei_solvent_diffusion_limited(self):
         options = {"SEI": "solvent-diffusion limited"}
@@ -197,7 +204,14 @@ def test_sei_asymmetric_ec_reaction_limited(self):
             "SEI": "ec reaction limited (asymmetric)",
             "SEI porosity change": "true",
         }
-        self.run_basic_processing_test(options)
+        parameter_values = pybamm.ParameterValues("Xu2019")
+        parameter_values.update(
+            {
+                "SEI growth transfer coefficient": 0.2
+            },
+            check_already_exists=False,
+        )
+        self.run_basic_processing_test(options, parameter_values=parameter_values)
 
     def test_loss_active_material_stress_negative(self):
         options = {"loss of active material": ("none", "stress-driven")}