diff --git a/mlir/lib/Dialect/SCF/Transforms/TileUsingInterface.cpp b/mlir/lib/Dialect/SCF/Transforms/TileUsingInterface.cpp
--- a/mlir/lib/Dialect/SCF/Transforms/TileUsingInterface.cpp
+++ b/mlir/lib/Dialect/SCF/Transforms/TileUsingInterface.cpp
@@ -90,6 +90,20 @@
 // TileUsingSCFForOp pattern implementation.
 //===----------------------------------------------------------------------===//
 
+// Check if `stride` evenly divides the trip count `size - offset`.
+static bool tileDividesIterationDomain(Range loopRange) {
+  Optional<int64_t> offsetAsInt = getConstantIntValue(loopRange.offset);
+  if (!offsetAsInt)
+    return false;
+  Optional<int64_t> sizeAsInt = getConstantIntValue(loopRange.size);
+  if (!sizeAsInt)
+    return false;
+  Optional<int64_t> strideAsInt = getConstantIntValue(loopRange.stride);
+  if (!strideAsInt)
+    return false;
+  return ((sizeAsInt.value() - offsetAsInt.value()) % strideAsInt.value() == 0);
+}
+
 /// Generate an empty loop nest that represents the tiled loop nest shell.
 /// - `loopRanges` specifies the lb, ub and step of the untiled iteration space.
 /// - `tileSizeVals` is the tile sizes to use. Zero represent untiled loops.
@@ -134,9 +148,15 @@
         loc, offset, size, tileSizeVals[loopRange.index()], ValueRange{},
         [&](OpBuilder &bodyBuilder, Location bodyLoc, Value iv,
             ValueRange /*iterArgs*/) {
-          Value boundedTileSize = builder.create<AffineMinOp>(
-              bodyLoc, minMap,
-              ValueRange{iv, tileSizeVals[loopRange.index()], size});
+          bool canAvoidMap = tileDividesIterationDomain(
+              Range{loopRange.value().offset, loopRange.value().size,
+                    tileSizeVals[loopRange.index()]});
+          Value boundedTileSize =
+              (canAvoidMap)
+                  ? tileSizeVals[loopRange.index()]
+                  : builder.create<AffineMinOp>(
+                        bodyLoc, minMap,
+                        ValueRange{iv, tileSizeVals[loopRange.index()], size});
           sizes[loopRange.index()] = boundedTileSize;
           builder.create<scf::YieldOp>(loc);
         });
diff --git a/mlir/test/Interfaces/TilingInterface/tile-using-interface.mlir b/mlir/test/Interfaces/TilingInterface/tile-using-interface.mlir
--- a/mlir/test/Interfaces/TilingInterface/tile-using-interface.mlir
+++ b/mlir/test/Interfaces/TilingInterface/tile-using-interface.mlir
@@ -101,7 +101,6 @@
   return %0#0, %0#1 : tensor<128x300x200xf32>, tensor<300x128x200xf32>
 }
 //  CHECK-DAG: #[[MAP0:.+]] = affine_map<(d0)[s0, s1] -> (10, -d0 + s1)>
-//  CHECK-DAG: #[[MAP1:.+]] = affine_map<(d0)[s0, s1] -> (20, -d0 + s1)>
 //      CHECK: func.func @multi_result(
 // CHECK-SAME:     %[[ARG0:[a-zA-Z0-9]+]]: tensor<128x200x300xf32>)
 //  CHECK-DAG:   %[[C0:.+]] = arith.constant 0 : index
@@ -116,20 +115,19 @@
 //      CHECK:     %[[TS_Y:.+]] = affine.min #[[MAP0]](%[[IV0]])[%[[C10]], %[[C128]]]
 //      CHECK:     %[[INNER:[a-zA-Z0-9]+]]:2 = scf.for %[[IV1:[a-zA-Z0-9]+]] = %[[C0]] to %[[C300]] step %[[C20]]
 // CHECK-SAME:         iter_args(%[[ARG3:[a-zA-Z0-9]+]] = %[[ARG1]], %[[ARG4:[a-zA-Z0-9]+]] = %[[ARG2]])
-//      CHECK:       %[[TS_X:.+]] = affine.min #[[MAP1]](%[[IV1]])[%[[C20]], %[[C300]]]
 //  CHECK-DAG:       %[[ARG_TILE:.+]] = tensor.extract_slice %[[ARG0]]
-// CHECK-SAME:           [%[[IV0]], 0, %[[IV1]]] [%[[TS_Y]], 200, %[[TS_X]]] [1, 1, 1]
+// CHECK-SAME:           [%[[IV0]], 0, %[[IV1]]] [%[[TS_Y]], 200, 20] [1, 1, 1]
 //  CHECK-DAG:       %[[INIT0_TILE:.+]] = tensor.extract_slice %[[ARG3]]
-// CHECK-SAME:           [%[[IV0]], %[[IV1]], 0] [%[[TS_Y]], %[[TS_X]], 200] [1, 1, 1]
+// CHECK-SAME:           [%[[IV0]], %[[IV1]], 0] [%[[TS_Y]], 20, 200] [1, 1, 1]
 //  CHECK-DAG:       %[[INIT1_TILE:.+]] = tensor.extract_slice %[[ARG4]]
-// CHECK-SAME:           [%[[IV1]], %[[IV0]], 0] [%[[TS_X]], %[[TS_Y]], 200] [1, 1, 1]
+// CHECK-SAME:           [%[[IV1]], %[[IV0]], 0] [20, %[[TS_Y]], 200] [1, 1, 1]
 //      CHECK:       %[[RESULT_TILE:.+]]:2 = linalg.generic
 // CHECK-SAME:           ins(%[[ARG_TILE]] :
 // CHECK-SAME:           outs(%[[INIT0_TILE]], %[[INIT1_TILE]] :
 //      CHECK:       %[[UPDATE0:.+]] = tensor.insert_slice %[[RESULT_TILE]]#0 into %[[ARG3]]
-// CHECK-SAME:           [%[[IV0]], %[[IV1]], 0] [%[[TS_Y]], %[[TS_X]], 200] [1, 1, 1]
+// CHECK-SAME:           [%[[IV0]], %[[IV1]], 0] [%[[TS_Y]], 20, 200] [1, 1, 1]
 //      CHECK:       %[[UPDATE1:.+]] = tensor.insert_slice %[[RESULT_TILE]]#1 into %[[ARG4]]
-// CHECK-SAME:           [%[[IV1]], %[[IV0]], 0] [%[[TS_X]], %[[TS_Y]], 200] [1, 1, 1]
+// CHECK-SAME:           [%[[IV1]], %[[IV0]], 0] [20, %[[TS_Y]], 200] [1, 1, 1]
 //      CHECK:       scf.yield %[[UPDATE0]], %[[UPDATE1]]
 //      CHECK:     scf.yield %[[INNER]]#0, %[[INNER]]#1
 //      CHECK:   return %[[OUTER]]#0, %[[OUTER]]#1