diff --git a/dpcpp/test/factorization/par_ilut_kernels.cpp b/dpcpp/test/factorization/par_ilut_kernels.cpp
index f6ce4cc317c..02adc6c7895 100644
--- a/dpcpp/test/factorization/par_ilut_kernels.cpp
+++ b/dpcpp/test/factorization/par_ilut_kernels.cpp
@@ -426,6 +426,10 @@ TEST_F(ParIlut, KernelComplexThresholdFilterAllUppererIsEquivalentToRef)
 
 TEST_F(ParIlut, KernelThresholdFilterApproxNullptrCooIsEquivalentToRef)
 {
+#if GINKGO_DPCPP_SINGLE_MODE
+    // Need bitwise equivalence to CPU
+    GTEST_SKIP();
+#endif
     test_filter(mtx_l, dmtx_l, 0.5, true);
     auto res = Csr::create(ref, mtx_size);
     auto dres = Csr::create(dpcpp, mtx_size);
@@ -449,24 +453,40 @@ TEST_F(ParIlut, KernelThresholdFilterApproxNullptrCooIsEquivalentToRef)
 
 TEST_F(ParIlut, KernelThresholdFilterApproxLowerIsEquivalentToRef)
 {
+#if GINKGO_DPCPP_SINGLE_MODE
+    // Need bitwise equivalence to CPU
+    GTEST_SKIP();
+#endif
     test_filter_approx(mtx_l, dmtx_l, mtx_l->get_num_stored_elements() / 2);
 }
 
 
 TEST_F(ParIlut, KernelThresholdFilterApproxNoneLowerIsEquivalentToRef)
 {
+#if GINKGO_DPCPP_SINGLE_MODE
+    // Need bitwise equivalence to CPU
+    GTEST_SKIP();
+#endif
     test_filter_approx(mtx_l, dmtx_l, 0);
 }
 
 
 TEST_F(ParIlut, KernelThresholdFilterApproxAllLowerIsEquivalentToRef)
 {
+#if GINKGO_DPCPP_SINGLE_MODE
+    // Need bitwise equivalence to CPU
+    GTEST_SKIP();
+#endif
     test_filter_approx(mtx_l, dmtx_l, mtx_l->get_num_stored_elements() - 1);
 }
 
 
 TEST_F(ParIlut, KernelComplexThresholdFilterApproxLowerIsEquivalentToRef)
 {
+#if GINKGO_DPCPP_SINGLE_MODE
+    // Need bitwise equivalence to CPU
+    GTEST_SKIP();
+#endif
     test_filter_approx(mtx_l_complex, dmtx_l_complex,
                        mtx_l_complex->get_num_stored_elements() / 2,
                        r<value_type>::value);
@@ -475,12 +495,20 @@ TEST_F(ParIlut, KernelComplexThresholdFilterApproxLowerIsEquivalentToRef)
 
 TEST_F(ParIlut, KernelComplexThresholdFilterApproxNoneLowerIsEquivalentToRef)
 {
+#if GINKGO_DPCPP_SINGLE_MODE
+    // Need bitwise equivalence to CPU
+    GTEST_SKIP();
+#endif
     test_filter_approx(mtx_l_complex, dmtx_l_complex, 0, r<value_type>::value);
 }
 
 
 TEST_F(ParIlut, KernelComplexThresholdFilterApproxAllLowerIsEquivalentToRef)
 {
+#if GINKGO_DPCPP_SINGLE_MODE
+    // Need bitwise equivalence to CPU
+    GTEST_SKIP();
+#endif
     test_filter_approx(mtx_l_complex, dmtx_l_complex,
                        mtx_l_complex->get_num_stored_elements() - 1,
                        r<value_type>::value);