diff --git a/ortools/math_opt/solver_tests/ip_parameter_tests.cc b/ortools/math_opt/solver_tests/ip_parameter_tests.cc
index dfd2d2a42b..da2bd74f8d 100644
--- a/ortools/math_opt/solver_tests/ip_parameter_tests.cc
+++ b/ortools/math_opt/solver_tests/ip_parameter_tests.cc
@@ -1273,9 +1273,12 @@ TEST_P(LargeInstanceIpParameterTest, AbsoluteGapTolerance) {
   }
   ASSERT_THAT(result, IsOkAndHolds(IsOptimal()));
   // There should be some space between our optimal solution and best bound
-  EXPECT_GE(result->termination.objective_bounds.primal_bound -
-                result->termination.objective_bounds.dual_bound,
-            absolute_lp_relax_gap / 40.0);
+  if (GetParam().solver_type != SolverType::kCpSat) {
+    // CP-SAT in parallel can find the optimal solution directly.
+    EXPECT_GE(result->termination.objective_bounds.primal_bound -
+                  result->termination.objective_bounds.dual_bound,
+              absolute_lp_relax_gap / 40.0);
+  }
 }
 
 // Set the relative gap to 2*(8090 - 7649)/8090 ~= 0.1 and check there is
diff --git a/ortools/sat/cp_model_solver_test.cc b/ortools/sat/cp_model_solver_test.cc
index cf5963e6b8..205dd64543 100644
--- a/ortools/sat/cp_model_solver_test.cc
+++ b/ortools/sat/cp_model_solver_test.cc
@@ -294,6 +294,7 @@ TEST(SolveCpModelTest, NonInstantiatedVariables) {
   params.set_instantiate_all_variables(false);
   params.set_search_branching(SatParameters::FIXED_SEARCH);
   params.set_cp_model_presolve(false);
+  params.set_num_workers(1);
   model.Add(NewSatParameters(params));
 
   const CpSolverResponse response = SolveCpModel(model_proto, &model);