diff --git a/tensorflow/compiler/xla/service/hlo_computation.cc b/tensorflow/compiler/xla/service/hlo_computation.cc
index bae78c94bdc..70b18ff3567 100644
--- a/tensorflow/compiler/xla/service/hlo_computation.cc
+++ b/tensorflow/compiler/xla/service/hlo_computation.cc
@@ -321,6 +321,7 @@ void ComputeComputationPostOrder(
 enum State { kVisiting, kVisited };
 
 void ComputeInstructionPostOrder(
+    std::map<int64, std::vector<HloInstruction*>> channel_dependency_map,
     std::vector<HloInstruction*>* post_order, HloInstruction* root,
     tensorflow::gtl::FlatMap<HloInstruction*, State>* visited) {
   std::vector<HloInstruction*> dfs_stack;
@@ -355,12 +356,67 @@ void ComputeInstructionPostOrder(
     for (HloInstruction* op : current->control_predecessors()) {
       dfs_stack.emplace_back(op);
     }
+
+    // Add inputs for send->recv_done dependencies and cross-replica-sum
+    // dependencies.
+    switch (current->opcode()) {
+      case HloOpcode::kRecvDone: {
+        const auto& dependencies =
+            channel_dependency_map[current->channel_id()];
+        for (HloInstruction* op : dependencies) {
+          dfs_stack.emplace_back(op);
+        }
+        break;
+      }
+      case HloOpcode::kCrossReplicaSum: {
+        auto all_reduce_id = current->all_reduce_id();
+        if (all_reduce_id) {
+          const auto& dependencies =
+              channel_dependency_map[all_reduce_id.value()];
+          for (HloInstruction* op : dependencies) {
+            dfs_stack.emplace_back(op);
+          }
+        }
+        break;
+      }
+      default:
+        break;
+    }
   }
 }
 
 }  // namespace
 
+std::map<int64, std::vector<HloInstruction*>>
+HloComputation::ComputeChannelDependencies() const {
+  std::map<int64, std::vector<HloInstruction*>> channel_dependency_map;
+  for (const auto& instruction : instructions_) {
+    switch (instruction->opcode()) {
+      case HloOpcode::kSend: {
+        channel_dependency_map[instruction->channel_id()].push_back(
+            instruction.get());
+        break;
+      }
+      case HloOpcode::kCrossReplicaSum: {
+        auto all_reduce_id = instruction->all_reduce_id();
+        if (all_reduce_id) {
+          auto& dependencies = channel_dependency_map[all_reduce_id.value()];
+          absl::c_copy(instruction->operands(),
+                       std::back_inserter(dependencies));
+          absl::c_copy(instruction->control_predecessors(),
+                       std::back_inserter(dependencies));
+        }
+        break;
+      }
+      default:
+        break;
+    }
+  }
+  return channel_dependency_map;
+}
+
 std::vector<HloInstruction*> HloComputation::MakeInstructionPostOrder() const {
+  auto channel_dependency_map = ComputeChannelDependencies();
   std::vector<HloInstruction*> post_order;
   post_order.reserve(instruction_count());
   std::vector<HloInstruction*> trace_instructions;
@@ -372,7 +428,8 @@ std::vector<HloInstruction*> HloComputation::MakeInstructionPostOrder() const {
       // users).
       trace_instructions.push_back(instruction.get());
     } else if (instruction->users().empty()) {
-      ComputeInstructionPostOrder(&post_order, instruction.get(), &visited);
+      ComputeInstructionPostOrder(channel_dependency_map, &post_order,
+                                  instruction.get(), &visited);
     }
   }
   post_order.insert(post_order.end(), trace_instructions.begin(),
@@ -676,12 +733,33 @@ std::unique_ptr<HloReachabilityMap> HloComputation::ComputeReachability()
     const {
   const auto& all = MakeInstructionPostOrder();
   auto result = absl::make_unique<HloReachabilityMap>(all);
+  auto channel_dependency_map = ComputeChannelDependencies();
 
   std::vector<HloInstruction*> inputs;
   for (const HloInstruction* hlo : all) {
     inputs.assign(hlo->operands().begin(), hlo->operands().end());
     inputs.insert(inputs.end(), hlo->control_predecessors().begin(),
                   hlo->control_predecessors().end());
+
+    switch (hlo->opcode()) {
+      case HloOpcode::kRecvDone: {
+        const auto& dependencies = channel_dependency_map[hlo->channel_id()];
+        absl::c_copy(dependencies, std::back_inserter(inputs));
+        break;
+      }
+      case HloOpcode::kCrossReplicaSum: {
+        auto all_reduce_id = hlo->all_reduce_id();
+        if (all_reduce_id) {
+          const auto& dependencies =
+              channel_dependency_map[all_reduce_id.value()];
+          absl::c_copy(dependencies, std::back_inserter(inputs));
+        }
+        break;
+      }
+      default:
+        break;
+    }
+
     result->FastSetReachabilityToUnion(inputs, hlo);
   }
   return result;
diff --git a/tensorflow/compiler/xla/service/hlo_computation.h b/tensorflow/compiler/xla/service/hlo_computation.h
index 49ed65910f5..faa33f0f90e 100644
--- a/tensorflow/compiler/xla/service/hlo_computation.h
+++ b/tensorflow/compiler/xla/service/hlo_computation.h
@@ -399,6 +399,13 @@ class HloComputation {
   // Internal helper to collect unreachable roots.
   std::vector<HloInstruction*> CollectUnreachableRoots() const;
 
+  // Returns a map from channel-id to directed dependencies of the channel
+  // instructions. For send&recv pairs it means the send instruction and for
+  // cross-replica-sum the union of the dependencies for all participating
+  // instructions.
+  std::map<int64, std::vector<HloInstruction*>> ComputeChannelDependencies()
+      const;
+
   string name_;
   int64 unique_id_;
   HloInstruction* root_instruction_;
diff --git a/tensorflow/compiler/xla/service/hlo_computation_test.cc b/tensorflow/compiler/xla/service/hlo_computation_test.cc
index e4c54703313..f7ed1b0316b 100644
--- a/tensorflow/compiler/xla/service/hlo_computation_test.cc
+++ b/tensorflow/compiler/xla/service/hlo_computation_test.cc
@@ -691,6 +691,27 @@ TEST_F(HloComputationTest, StringificationCanonical) {
   EXPECT_EQ(computation->ToString(options), expected_computation2);
 }
 
-}  // namespace
+TEST_F(HloComputationTest, ChannelReachability) {
+  const Shape shape = ShapeUtil::MakeShape(F32, {5, 7});
+  HloComputation::Builder builder("ChannelReachability");
+  auto param = builder.AddInstruction(
+      HloInstruction::CreateParameter(0, shape, "param"));
+  auto token0 = builder.AddInstruction(HloInstruction::CreateToken());
+  auto send =
+      builder.AddInstruction(HloInstruction::CreateSend(param, token0, 1));
+  auto send_done = builder.AddInstruction(HloInstruction::CreateSendDone(send));
+  auto token1 = builder.AddInstruction(HloInstruction::CreateToken());
+  auto recv =
+      builder.AddInstruction(HloInstruction::CreateRecv(shape, token1, 1));
+  auto recv_done = builder.AddInstruction(HloInstruction::CreateRecvDone(recv));
 
+  auto module = CreateNewModule();
+  auto computation = module->AddEntryComputation(builder.Build(recv_done));
+  auto reachability = computation->ComputeReachability();
+  EXPECT_TRUE(reachability->IsReachable(param, recv_done));
+  EXPECT_FALSE(reachability->IsReachable(send, recv));
+  EXPECT_FALSE(reachability->IsReachable(send_done, recv));
+}
+
+}  // namespace
 }  // namespace xla