diff --git a/packages/muelu/test/unit_tests/Regression.cpp b/packages/muelu/test/unit_tests/Regression.cpp
index 3bb6e65b2a4f..24d54ed37859 100644
--- a/packages/muelu/test/unit_tests/Regression.cpp
+++ b/packages/muelu/test/unit_tests/Regression.cpp
@@ -105,9 +105,17 @@ TEUCHOS_UNIT_TEST_TEMPLATE_4_DECL(Regression, H2D, Scalar, LocalOrdinal, GlobalO
 
   if (Node::is_cpu) {
     TEST_EQUALITY(Tpetra::Details::DeepCopyCounter::get_count_different_space(), 0);
-  } else {
+  }
+#ifdef KOKKOS_HAS_SHARED_SPACE
+  else {
+    size_t targetNumDeepCopies = std::is_same_v<typename Node::memory_space, Kokkos::SharedSpace> ? 24 : 37;
+    TEST_EQUALITY(Tpetra::Details::DeepCopyCounter::get_count_different_space(), targetNumDeepCopies);
+  }
+#else
+  else {
     TEST_EQUALITY(Tpetra::Details::DeepCopyCounter::get_count_different_space(), 37);
   }
+#endif
 
   auto X = Xpetra::MultiVectorFactory<SC, LO, GO, NO>::Build(A->getRowMap(), 1);
   auto B = Xpetra::MultiVectorFactory<SC, LO, GO, NO>::Build(A->getRowMap(), 1);