diff --git a/xla/service/gpu/fusions/triton/triton_fusion_emitter_parametrized_test.cc b/xla/service/gpu/fusions/triton/triton_fusion_emitter_parametrized_test.cc
index 0735d65c6d387..a3cafcdf40628 100644
--- a/xla/service/gpu/fusions/triton/triton_fusion_emitter_parametrized_test.cc
+++ b/xla/service/gpu/fusions/triton/triton_fusion_emitter_parametrized_test.cc
@@ -2211,8 +2211,7 @@ ENTRY main {
 ; CHECK:      ENTRY
 ; CHECK-DAG:    %[[P0:.*]] = f32[125,127]{1,0} parameter(0)
 ; CHECK-DAG:    %[[P1:.*]] = f32[10,125,127]{2,1,0} parameter(1)
-; CHECK-DAG:    %[[C0:.*]] = f32[] constant(0)
-; CHECK:        ROOT %[[FUSION:.*]] = f32[125,127]{1,0} fusion(%[[P0]], %[[P1]], %[[C0]])
+; CHECK:        ROOT %[[FUSION:.*]] = f32[125,127]{1,0} fusion(%[[P0]], %[[P1]])
 ; CHECK-SAME:       kind=kCustom
 ; CHECK-SAME:       __triton
 )";
diff --git a/xla/service/gpu/transforms/priority_fusion.cc b/xla/service/gpu/transforms/priority_fusion.cc
index 9d55836861c64..f887161d869fd 100644
--- a/xla/service/gpu/transforms/priority_fusion.cc
+++ b/xla/service/gpu/transforms/priority_fusion.cc
@@ -1023,7 +1023,8 @@ absl::StatusOr<bool> PriorityFusion::Run(
     for (auto* constant : constants) {
       auto users = constant->users();
       for (auto* user : users) {
-        if (IsFusible(*user) && CanEmitInputFusedScatter(*constant, *user)) {
+        if ((IsFusible(*user) || IsGenericTritonFusion(*user)) &&
+            CanEmitInputFusedScatter(*constant, *user)) {
           Fuse(constant, user);
           changed = true;
         }
diff --git a/xla/service/gpu/transforms/priority_fusion_test.cc b/xla/service/gpu/transforms/priority_fusion_test.cc
index 58c23381b4d8d..5f49fa4fc5c67 100644
--- a/xla/service/gpu/transforms/priority_fusion_test.cc
+++ b/xla/service/gpu/transforms/priority_fusion_test.cc
@@ -818,6 +818,35 @@ TEST_F(PriorityFusionTest, FuseOnlySmallConstant) {
                   m::Add(m::Parameter(), m::Broadcast(m::Constant())))));
 }
 
+TEST_F(PriorityFusionTest, FuseSmallConstantIntoTritonFusion) {
+  auto module = *ParseAndReturnVerifiedModule(R"(
+HloModule module
+
+add {
+  Arg_0 = f32[] parameter(0)
+  Arg_1 = f32[] parameter(1)
+  ROOT add = f32[] add(Arg_0, Arg_1)
+}
+
+triton_computation {
+  param_0 = f32[32,64] parameter(0)
+  param_1 = f32[] parameter(1)
+  ROOT reduce = f32[32] reduce(param_0, param_1), dimensions={1}, to_apply=add
+}
+
+ENTRY main {
+  param_0 = f32[32,64] parameter(0)
+  c_0 = f32[] constant(0)
+  ROOT triton_softmax = f32[32] fusion(param_0, c_0), kind=kCustom, calls=triton_computation, backend_config={"fusion_backend_config": {"kind":"__triton","block_level_fusion_config":{"output_tile_sizes":["1"],"num_warps":"1"}}}
+})");
+  EXPECT_THAT(priority_fusion_.Run(module.get()), IsOkAndHolds(true));
+
+  HloInstruction* root = module->entry_computation()->root_instruction();
+  ASSERT_THAT(root, GmockMatch(m::Fusion(m::Parameter())));
+  EXPECT_THAT(root->fused_expression_root(),
+              GmockMatch(m::Reduce(m::Parameter(), m::Constant())));
+}
+
 TEST_F(PriorityFusionTest, DoNotFuseProducerConsumerMergedTooLarge) {
   auto module = *ParseAndReturnVerifiedModule(R"(
     HloModule module