diff --git a/mlir/include/mlir/Dialect/Linalg/ComprehensiveBufferize/TensorInterfaceImpl.h b/mlir/include/mlir/Dialect/Linalg/ComprehensiveBufferize/TensorInterfaceImpl.h
--- a/mlir/include/mlir/Dialect/Linalg/ComprehensiveBufferize/TensorInterfaceImpl.h
+++ b/mlir/include/mlir/Dialect/Linalg/ComprehensiveBufferize/TensorInterfaceImpl.h
@@ -9,6 +9,8 @@
 #ifndef MLIR_DIALECT_LINALG_COMPREHENSIVEBUFFERIZE_TENSOR_INTERFACE_IMPL_H
 #define MLIR_DIALECT_LINALG_COMPREHENSIVEBUFFERIZE_TENSOR_INTERFACE_IMPL_H
 
+#include "mlir/Dialect/Linalg/ComprehensiveBufferize/BufferizableOpInterface.h"
+
 namespace mlir {
 
 class DialectRegistry;
@@ -17,6 +19,11 @@
 namespace comprehensive_bufferize {
 namespace tensor_ext {
 
+struct InplaceInsertSliceOpAnalysis : public PostAnalysisStep {
+  LogicalResult run(FuncOp funcOp, BufferizationState &state,
+                    SmallVector<Operation *> &newOps) override;
+};
+
 void registerBufferizableOpInterfaceExternalModels(DialectRegistry &registry);
 
 } // namespace tensor_ext
diff --git a/mlir/lib/Dialect/Linalg/ComprehensiveBufferize/TensorInterfaceImpl.cpp b/mlir/lib/Dialect/Linalg/ComprehensiveBufferize/TensorInterfaceImpl.cpp
--- a/mlir/lib/Dialect/Linalg/ComprehensiveBufferize/TensorInterfaceImpl.cpp
+++ b/mlir/lib/Dialect/Linalg/ComprehensiveBufferize/TensorInterfaceImpl.cpp
@@ -13,6 +13,8 @@
 #include "mlir/IR/Dialect.h"
 #include "mlir/IR/Operation.h"
 
+using namespace mlir;
+
 namespace mlir {
 namespace linalg {
 namespace comprehensive_bufferize {
@@ -21,6 +23,20 @@
 using tensor::ExtractSliceOp;
 using tensor::InsertSliceOp;
 
+namespace {
+/// Extra bufferization state that is required for bufferization of tensor ops.
+struct TensorBufferizationState : public DialectBufferizationState {
+  /// InsertSliceOps that bufferize inplace and do not require a copy.
+  DenseSet<Operation *> insertSliceOpsWithoutCopy;
+};
+} // namespace
+
+static TensorBufferizationState &
+getTensorBufferizationState(BufferizationState &state) {
+  return state.getDialectState<TensorBufferizationState>(
+      tensor::TensorDialect::getDialectNamespace());
+}
+
 struct CastOpInterface
     : public BufferizableOpInterface::ExternalModel<CastOpInterface,
                                                     tensor::CastOp> {
@@ -374,6 +390,7 @@
     // catastrophically bad scheduling decision.
     // TODO: be very loud about it or even consider failing the pass.
     auto insertSliceOp = cast<tensor::InsertSliceOp>(op);
+    TensorBufferizationState &tensorState = getTensorBufferizationState(state);
 
     // Take a guard before anything else.
     OpBuilder::InsertionGuard g(b);
@@ -385,15 +402,8 @@
     if (!dstMemref)
       return failure();
 
-    // A copy of the source buffer is needed if either:
-    //   - The producer of `source` is not inplace. This is the case where a
-    //     slice is computed out of place into the inplace full tensor.
-    //   - The result is not inplace. This is the case where the whole tensor is
-    //     cloned and the clone needs to be updated.
-    // TODO: Is this necessary?
-    bool needCopy = !isSourceEquivalentToAMatchingInplaceExtractSliceOp(
-                        state.aliasInfo, insertSliceOp) ||
-                    !state.aliasInfo.isInPlace(insertSliceOp->getResult(0));
+    bool needCopy =
+        !tensorState.insertSliceOpsWithoutCopy.contains(insertSliceOp);
     if (needCopy) {
       // Take a subview of the dst.
       auto dstMemrefType = dstMemref.getType().cast<MemRefType>();
@@ -424,6 +434,24 @@
 } // namespace linalg
 } // namespace mlir
 
+LogicalResult mlir::linalg::comprehensive_bufferize::tensor_ext::
+    InplaceInsertSliceOpAnalysis::run(FuncOp funcOp, BufferizationState &state,
+                                      SmallVector<Operation *> &newOps) {
+  auto &tensorState = getTensorBufferizationState(state);
+  funcOp.walk([&](InsertSliceOp insertSliceOp) {
+    // A copy of the source buffer is needed if either:
+    //   - The producer of `source` is not inplace. This is the case where a
+    //     slice is computed out of place into the inplace full tensor.
+    //   - The result is not inplace. This is the case where the whole tensor is
+    //     cloned and the clone needs to be updated.
+    if (isSourceEquivalentToAMatchingInplaceExtractSliceOp(state.aliasInfo,
+                                                           insertSliceOp) &&
+        state.aliasInfo.isInPlace(insertSliceOp->getResult(0)))
+      tensorState.insertSliceOpsWithoutCopy.insert(insertSliceOp);
+  });
+  return success();
+}
+
 void mlir::linalg::comprehensive_bufferize::tensor_ext::
     registerBufferizableOpInterfaceExternalModels(DialectRegistry &registry) {
   registry.addOpInterface<tensor::CastOp, tensor_ext::CastOpInterface>();
diff --git a/mlir/lib/Dialect/Linalg/Transforms/ComprehensiveBufferizePass.cpp b/mlir/lib/Dialect/Linalg/Transforms/ComprehensiveBufferizePass.cpp
--- a/mlir/lib/Dialect/Linalg/Transforms/ComprehensiveBufferizePass.cpp
+++ b/mlir/lib/Dialect/Linalg/Transforms/ComprehensiveBufferizePass.cpp
@@ -90,6 +90,9 @@
   // Enable InitTensorOp elimination.
   options.addPostAnalysisStep<
       linalg_ext::InsertSliceAnchoredInitTensorEliminationStep>();
+  // TODO: Find a way to enable this step automatically when bufferizing tensor
+  // dialect ops.
+  options.addPostAnalysisStep<tensor_ext::InplaceInsertSliceOpAnalysis>();
 
   ModuleOp moduleOp = getOperation();
   applyEnablingTransformations(moduleOp);