diff --git a/mlir/test/CMakeLists.txt b/mlir/test/CMakeLists.txt
--- a/mlir/test/CMakeLists.txt
+++ b/mlir/test/CMakeLists.txt
@@ -45,6 +45,7 @@
   file(COPY ${CMAKE_CURRENT_SOURCE_DIR}/Integration/data/test.mtx
             ${CMAKE_CURRENT_SOURCE_DIR}/Integration/data/test.tns
             ${CMAKE_CURRENT_SOURCE_DIR}/Integration/data/wide.mtx
+            ${CMAKE_CURRENT_SOURCE_DIR}/Integration/data/zero.mtx
           DESTINATION ${MLIR_INTEGRATION_TEST_DIR}/data/)
 endif()
 
diff --git a/mlir/test/Integration/Dialect/SparseTensor/CPU/dense_output.mlir b/mlir/test/Integration/Dialect/SparseTensor/CPU/dense_output.mlir
new file mode 100644
--- /dev/null
+++ b/mlir/test/Integration/Dialect/SparseTensor/CPU/dense_output.mlir
@@ -0,0 +1,100 @@
+// RUN: mlir-opt %s \
+// RUN:   --sparsification --sparse-tensor-conversion \
+// RUN:   --convert-linalg-to-loops --convert-vector-to-scf --convert-scf-to-std \
+// RUN:   --func-bufferize --tensor-constant-bufferize --tensor-bufferize \
+// RUN:   --std-bufferize --finalizing-bufferize  \
+// RUN:   --convert-vector-to-llvm --convert-std-to-llvm | \
+// RUN: TENSOR0="%mlir_integration_test_dir/data/test.mtx" \
+// RUN: TENSOR1="%mlir_integration_test_dir/data/zero.mtx" \
+// RUN: mlir-cpu-runner \
+// RUN:  -e entry -entry-point-result=void  \
+// RUN:  -shared-libs=%mlir_integration_test_dir/libmlir_c_runner_utils%shlibext | \
+// RUN: FileCheck %s
+
+!Filename = type !llvm.ptr<i8>
+
+#DenseMatrix = #sparse_tensor.encoding<{
+  dimLevelType = [ "dense", "dense" ],
+  dimOrdering = affine_map<(i,j) -> (i,j)>
+}>
+
+#SparseMatrix = #sparse_tensor.encoding<{
+  dimLevelType = [ "dense", "compressed" ],
+  dimOrdering = affine_map<(i,j) -> (i,j)>
+}>
+
+#trait_assign = {
+  indexing_maps = [
+    affine_map<(i,j) -> (i,j)>, // A
+    affine_map<(i,j) -> (i,j)>  // X (out)
+  ],
+  iterator_types = ["parallel", "parallel"],
+  doc = "X(i,j) = A(i,j)"
+}
+
+//
+// Integration test that demonstrates assigning a sparse tensor
+// to an all-dense annotated "sparse" tensor, which effectively
+// result in inserting the nonzero elements into a linearized array.
+//
+// Note that there is a subtle difference between a non-annotated
+// tensor and an all-dense annotated tensor. Both tensors are assumed
+// dense, but the former remains an n-dimensional memref whereas the
+// latter is linearized into a one-dimensional memref that is further
+// lowered into a storage scheme that is backed by the runtime support
+// library.
+module {
+  //
+  // A kernel that assigns elements from A to an initially zero X.
+  //
+  func @dense_output(%arga: tensor<?x?xf64, #SparseMatrix>,
+                     %argx: tensor<?x?xf64, #DenseMatrix>
+		     {linalg.inplaceable = true})
+       -> tensor<?x?xf64, #DenseMatrix> {
+    %0 = linalg.generic #trait_assign
+       ins(%arga: tensor<?x?xf64, #SparseMatrix>)
+      outs(%argx: tensor<?x?xf64, #DenseMatrix>) {
+      ^bb(%a: f64, %x: f64):
+        linalg.yield %a : f64
+    } -> tensor<?x?xf64, #DenseMatrix>
+    return %0 : tensor<?x?xf64, #DenseMatrix>
+  }
+
+  func private @getTensorFilename(index) -> (!Filename)
+
+  //
+  // Main driver that reads matrix from file and calls the kernel.
+  //
+  func @entry() {
+    %d0 = constant 0.0 : f64
+    %c0 = constant 0 : index
+    %c1 = constant 1 : index
+
+    // Read the sparse matrix from file, construct sparse storage.
+    %fileName = call @getTensorFilename(%c0) : (index) -> (!Filename)
+    %a = sparse_tensor.new %fileName
+      : !llvm.ptr<i8> to tensor<?x?xf64, #SparseMatrix>
+
+    // Initialize all-dense annotated "sparse" matrix to all zeros.
+    %fileZero = call @getTensorFilename(%c1) : (index) -> (!Filename)
+    %x = sparse_tensor.new %fileZero
+      : !llvm.ptr<i8> to tensor<?x?xf64, #DenseMatrix>
+
+    // Call the kernel.
+    %0 = call @dense_output(%a, %x)
+      : (tensor<?x?xf64, #SparseMatrix>,
+         tensor<?x?xf64, #DenseMatrix>) -> tensor<?x?xf64, #DenseMatrix>
+
+    //
+    // Print the linearized 5x5 result for verification.
+    //
+    // CHECK: ( 1, 0, 0, 1.4, 0, 0, 2, 0, 0, 2.5, 0, 0, 3, 0, 0, 4.1, 0, 0, 4, 0, 0, 5.2, 0, 0, 5 )
+    //
+    %m = sparse_tensor.values %0
+      : tensor<?x?xf64, #DenseMatrix> to memref<?xf64>
+    %v = vector.load %m[%c0] : memref<?xf64>, vector<25xf64>
+    vector.print %v : vector<25xf64>
+
+    return
+  }
+}
diff --git a/mlir/test/Integration/data/zero.mtx b/mlir/test/Integration/data/zero.mtx
new file mode 100644
--- /dev/null
+++ b/mlir/test/Integration/data/zero.mtx
@@ -0,0 +1,6 @@
+%%MatrixMarket matrix coordinate real general
+%
+% This is a test sparse matrix in Matrix Market Exchange Format.
+% see https://math.nist.gov/MatrixMarket
+%
+5 5 0