diff --git a/mlir/include/mlir/Analysis/DataFlow/DenseAnalysis.h b/mlir/include/mlir/Analysis/DataFlow/DenseAnalysis.h
index 3c87c453a4cf0..5b7b45fdd1d58 100644
--- a/mlir/include/mlir/Analysis/DataFlow/DenseAnalysis.h
+++ b/mlir/include/mlir/Analysis/DataFlow/DenseAnalysis.h
@@ -127,6 +127,18 @@ class AbstractDenseForwardDataFlowAnalysis : public DataFlowAnalysis {
   /// them into the same equivalent class.
   virtual void buildOperationEquivalentLatticeAnchor(Operation *op) {}
 
+  /// Visit a block and propagate the dense lattice forward along the control
+  /// flow edge from predecessor to block. `point` corresponds to the program
+  /// point before `block`. The default implementation merges in the state from
+  /// the predecessor's terminator.
+  virtual void visitBlockTransfer(Block *block, ProgramPoint *point,
+                                  Block *predecessor,
+                                  const AbstractDenseLattice &before,
+                                  AbstractDenseLattice *after) {
+    // Merge in the state from the predecessor's terminator.
+    join(after, before);
+  }
+
   /// Propagate the dense lattice forward along the control flow edge from
   /// `regionFrom` to `regionTo` regions of the `branch` operation. `nullopt`
   /// values correspond to control flow branches originating at or targeting the
@@ -259,6 +271,22 @@ class DenseForwardDataFlowAnalysis
         branch, regionFrom, regionTo, before, after);
   }
 
+  /// Hook for customizing the behavior of lattice propagation along the control
+  /// flow edges between blocks. The control flows from `predecessor` to
+  /// `block`. The lattice is propagated forward along this edge. The lattices
+  /// are as follows:
+  ///   - `before` is the lattice at the end of the predecessor block;
+  ///   - `after` is the lattice at the beginning of the block.
+  /// By default, the `after` state is simply joined with the `before` state.
+  /// Concrete analyses can override this behavior or delegate to the parent
+  /// call for the default behavior.
+  virtual void visitBlockTransfer(Block *block, ProgramPoint *point,
+                                  Block *predecessor, const LatticeT &before,
+                                  LatticeT *after) {
+    AbstractDenseForwardDataFlowAnalysis::visitBlockTransfer(
+        block, point, predecessor, before, after);
+  }
+
 protected:
   /// Get the dense lattice on this lattice anchor.
   LatticeT *getLattice(LatticeAnchor anchor) override {
@@ -306,6 +334,13 @@ class DenseForwardDataFlowAnalysis
                                          static_cast<const LatticeT &>(before),
                                          static_cast<LatticeT *>(after));
   }
+  void visitBlockTransfer(Block *block, ProgramPoint *point, Block *predecessor,
+                          const AbstractDenseLattice &before,
+                          AbstractDenseLattice *after) final {
+    visitBlockTransfer(block, point, predecessor,
+                       static_cast<const LatticeT &>(before),
+                       static_cast<LatticeT *>(after));
+  }
 };
 
 //===----------------------------------------------------------------------===//
@@ -388,6 +423,17 @@ class AbstractDenseBackwardDataFlowAnalysis : public DataFlowAnalysis {
   /// them into the same equivalent class.
   virtual void buildOperationEquivalentLatticeAnchor(Operation *op) {}
 
+  /// Visit a block and propagate the dense lattice backward along the control
+  /// flow edge from successor to block. `point` corresponds to the program
+  /// point after `block`. The default implementation merges in the state from
+  /// the successor's first operation or the block itself when empty.
+  virtual void visitBlockTransfer(Block *block, ProgramPoint *point,
+                                  Block *successor,
+                                  const AbstractDenseLattice &after,
+                                  AbstractDenseLattice *before) {
+    meet(before, after);
+  }
+
   /// Propagate the dense lattice backwards along the control flow edge from
   /// `regionFrom` to `regionTo` regions of the `branch` operation. `nullopt`
   /// values correspond to control flow branches originating at or targeting the
@@ -531,6 +577,22 @@ class DenseBackwardDataFlowAnalysis
         branch, regionFrom, regionTo, after, before);
   }
 
+  /// Hook for customizing the behavior of lattice propagation along the control
+  /// flow edges between blocks. The control flows from `successor` to
+  /// `block`. The lattice is propagated back along this edge. The lattices
+  /// are as follows:
+  ///   - `after` is the lattice at the beginning of the successor block;
+  ///   - `before` is the lattice at the end of the block.
+  /// By default, the `before` state is simply met with the `after` state.
+  /// Concrete analyses can override this behavior or delegate to the parent
+  /// call for the default behavior.
+  virtual void visitBlockTransfer(Block *block, ProgramPoint *point,
+                                  Block *successor, const LatticeT &after,
+                                  LatticeT *before) {
+    AbstractDenseBackwardDataFlowAnalysis::visitBlockTransfer(
+        block, point, successor, after, before);
+  }
+
 protected:
   /// Get the dense lattice at the given lattice anchor.
   LatticeT *getLattice(LatticeAnchor anchor) override {
@@ -577,6 +639,13 @@ class DenseBackwardDataFlowAnalysis
                                          static_cast<const LatticeT &>(after),
                                          static_cast<LatticeT *>(before));
   }
+  void visitBlockTransfer(Block *block, ProgramPoint *point, Block *successor,
+                          const AbstractDenseLattice &after,
+                          AbstractDenseLattice *before) final {
+    visitBlockTransfer(block, point, successor,
+                       static_cast<const LatticeT &>(after),
+                       static_cast<LatticeT *>(before));
+  }
 };
 
 } // end namespace dataflow
diff --git a/mlir/lib/Analysis/DataFlow/DenseAnalysis.cpp b/mlir/lib/Analysis/DataFlow/DenseAnalysis.cpp
index 0682e5f26785a..22bc0b32a9bd1 100644
--- a/mlir/lib/Analysis/DataFlow/DenseAnalysis.cpp
+++ b/mlir/lib/Analysis/DataFlow/DenseAnalysis.cpp
@@ -266,9 +266,10 @@ void AbstractDenseForwardDataFlowAnalysis::visitBlock(Block *block) {
     }
 
     LDBG() << "    Joining state from predecessor " << predecessor;
+    const AbstractDenseLattice &before = *getLatticeFor(
+        point, getProgramPointAfter(predecessor->getTerminator()));
     // Merge in the state from the predecessor's terminator.
-    join(after, *getLatticeFor(
-                    point, getProgramPointAfter(predecessor->getTerminator())));
+    visitBlockTransfer(block, point, predecessor, before, after);
   }
 }
 
@@ -614,7 +615,9 @@ void AbstractDenseBackwardDataFlowAnalysis::visitBlock(Block *block) {
     LDBG() << "    Meeting state from successor " << successor;
     // Merge in the state from the successor: either the first operation, or the
     // block itself when empty.
-    meet(before, *getLatticeFor(point, getProgramPointBefore(successor)));
+    visitBlockTransfer(block, point, successor,
+                       *getLatticeFor(point, getProgramPointBefore(successor)),
+                       before);
   }
 }