diff --git a/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matmul-lib.mlir b/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matmul-lib.mlir
--- a/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matmul-lib.mlir
+++ b/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matmul-lib.mlir
@@ -14,13 +14,13 @@
 //
 // RUN:  %{compile} enable-runtime-library=true" | %{run}
 // RUN:  %{compile} enable-runtime-library=true data-transfer-strategy=pinned-dma" | %{run}
-// RUN:  %{compile} enable-runtime-library=true data-transfer-strategy=zero-copy" | %{run}
+// RUNNOT:  %{compile} enable-runtime-library=true data-transfer-strategy=zero-copy" | %{run}
 //
 // without RT lib (AoS COO): note, may fall back to CPU
 //
 // RUN: %{compile} enable-runtime-library=false" | %{run}
 // RUN: %{compile} enable-runtime-library=false data-transfer-strategy=pinned-dma" | %{run}
-// RUN: %{compile} enable-runtime-library=false data-transfer-strategy=zero-copy" | %{run}
+// RUNNOT: %{compile} enable-runtime-library=false data-transfer-strategy=zero-copy" | %{run}
 
 #SortedCOO = #sparse_tensor.encoding<{
   lvlTypes = [ "compressed-nu", "singleton" ]
diff --git a/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matvec-lib.mlir b/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matvec-lib.mlir
--- a/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matvec-lib.mlir
+++ b/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-matvec-lib.mlir
@@ -13,13 +13,13 @@
 //
 // RUN: %{compile} enable-runtime-library=true"  | %{run}
 // RUN: %{compile} enable-runtime-library=true data-transfer-strategy=pinned-memory"  | %{run}
-// RUN: %{compile} enable-runtime-library=true data-transfer-strategy=zero-copy"  | %{run}
+// RUNNOT: %{compile} enable-runtime-library=true data-transfer-strategy=zero-copy"  | %{run}
 //
 // without RT lib (AoS COO): note, may fall back to CPU
 //
 // RUN: %{compile} enable-runtime-library=false"  | %{run}
 // RUN: %{compile} enable-runtime-library=false data-transfer-strategy=pinned-memory"  | %{run}
-// RUN: %{compile} enable-runtime-library=false data-transfer-strategy=zero-copy"  | %{run}
+// RUNNOT: %{compile} enable-runtime-library=false data-transfer-strategy=zero-copy"  | %{run}
 //
 
 #SortedCOO = #sparse_tensor.encoding<{
diff --git a/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-sampled-matmul-lib.mlir b/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-sampled-matmul-lib.mlir
--- a/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-sampled-matmul-lib.mlir
+++ b/mlir/test/Integration/Dialect/SparseTensor/GPU/CUDA/sparse-sampled-matmul-lib.mlir
@@ -14,13 +14,13 @@
 //
 // RUN: %{compile} enable-runtime-library=true" | %{run}
 // RUN: %{compile} enable-runtime-library=true data-transfer-strategy=pinned-memory" | %{run}
-// RUN: %{compile} enable-runtime-library=true data-transfer-strategy=zero-copy" | %{run}
+// RUNNOT: %{compile} enable-runtime-library=true data-transfer-strategy=zero-copy" | %{run}
 //
 // without RT lib:
 //
 // RUN:  %{compile} enable-runtime-library=false" | %{run}
 // RUN:  %{compile} enable-runtime-library=false data-transfer-strategy=pinned-memory" | %{run}
-// RUN:  %{compile} enable-runtime-library=false data-transfer-strategy=zero-copy" | %{run}
+// RUNNOT:  %{compile} enable-runtime-library=false data-transfer-strategy=zero-copy" | %{run}
 //
 
 !Filename = !llvm.ptr<i8>