diff --git a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_1d_nwc_wcf.mlir b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_1d_nwc_wcf.mlir
--- a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_1d_nwc_wcf.mlir
+++ b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_1d_nwc_wcf.mlir
@@ -1,3 +1,8 @@
+// UNSUPPORTED: target={{.*}}
+// FIXME: The test case is disabled (for now) because affine index on sparse tensor
+// are not handled efficiently by sparse compiler, the test case will be re-enabled
+// after new algorithm is implemented.
+
 // DEFINE: %{option} = enable-runtime-library=true
 // DEFINE: %{compile} = mlir-opt %s --sparse-compiler=%{option}
 // DEFINE: %{run} = mlir-cpu-runner \
diff --git a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_2d.mlir b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_2d.mlir
--- a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_2d.mlir
+++ b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_2d.mlir
@@ -1,3 +1,8 @@
+// UNSUPPORTED: target={{.*}}
+// FIXME: The test case is disabled (for now) because affine index on sparse tensor
+// are not handled efficiently by sparse compiler, the test case will be re-enabled
+// after new algorithm is implemented.
+
 // DEFINE: %{option} = enable-runtime-library=true
 // DEFINE: %{compile} = mlir-opt %s --sparse-compiler=%{option}
 // DEFINE: %{run} = mlir-cpu-runner \
diff --git a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_2d_nhwc_hwcf.mlir b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_2d_nhwc_hwcf.mlir
--- a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_2d_nhwc_hwcf.mlir
+++ b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_2d_nhwc_hwcf.mlir
@@ -1,3 +1,8 @@
+// UNSUPPORTED: target={{.*}}
+// FIXME: The test case is disabled (for now) because affine index on sparse tensor
+// are not handled efficiently by sparse compiler, the test case will be re-enabled
+// after new algorithm is implemented.
+
 // DEFINE: %{option} = enable-runtime-library=true
 // DEFINE: %{compile} = mlir-opt %s --sparse-compiler=%{option}
 // DEFINE: %{run} = mlir-cpu-runner \
diff --git a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_3d.mlir b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_3d.mlir
--- a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_3d.mlir
+++ b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_3d.mlir
@@ -1,3 +1,8 @@
+// UNSUPPORTED: target={{.*}}
+// FIXME: The test case is disabled (for now) because affine index on sparse tensor
+// are not handled efficiently by sparse compiler, the test case will be re-enabled
+// after new algorithm is implemented.
+
 // DEFINE: %{option} = enable-runtime-library=true
 // DEFINE: %{compile} = mlir-opt %s --sparse-compiler=%{option}
 // DEFINE: %{run} = mlir-cpu-runner \
diff --git a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_3d_ndhwc_dhwcf.mlir b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_3d_ndhwc_dhwcf.mlir
--- a/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_3d_ndhwc_dhwcf.mlir
+++ b/mlir/test/Integration/Dialect/SparseTensor/CPU/sparse_conv_3d_ndhwc_dhwcf.mlir
@@ -1,3 +1,8 @@
+// UNSUPPORTED: target={{.*}}
+// FIXME: The test case is disabled (for now) because affine index on sparse tensor
+// are not handled efficiently by sparse compiler, the test case will be re-enabled
+// after new algorithm is implemented.
+
 // DEFINE: %{option} = enable-runtime-library=true
 // DEFINE: %{compile} = mlir-opt %s --sparse-compiler=%{option}
 // DEFINE: %{run} = mlir-cpu-runner \