diff --git a/csrc/selective_scan/selective_scan_bwd_kernel.cuh b/csrc/selective_scan/selective_scan_bwd_kernel.cuh
index b204ab3f..0b159871 100644
--- a/csrc/selective_scan/selective_scan_bwd_kernel.cuh
+++ b/csrc/selective_scan/selective_scan_bwd_kernel.cuh
@@ -253,6 +253,7 @@ void selective_scan_bwd_kernel(SSMParamsBwd params) {
                     while (left <= right) {
                         if (cu_seqlens[(left + right) >> 1] == threadIdx.x * kNItems + i + chunk * kChunkSize) {
                             delta_a_exp = 0.f;
+                            break;
                         } else if (cu_seqlens[(left + right) >> 1] < threadIdx.x * kNItems + i + chunk * kChunkSize) {
                             left = ((left + right) >> 1) + 1;
                         } else {
@@ -356,6 +357,7 @@ void selective_scan_bwd_kernel(SSMParamsBwd params) {
                         if (cu_seqlens[(left + right) >> 1] == threadIdx.x * kNItems + i + chunk * kChunkSize) {
                             delta_a_exp.real_ = 0.f;
                             delta_a_exp.imag_ = 0.f;
+                            break;
                         } else if (cu_seqlens[(left + right) >> 1] < threadIdx.x * kNItems + i + chunk * kChunkSize) {
                             left = ((left + right) >> 1) + 1;
                         } else {
diff --git a/csrc/selective_scan/selective_scan_fwd_kernel.cuh b/csrc/selective_scan/selective_scan_fwd_kernel.cuh
index 8ecf126d..42a95b9d 100644
--- a/csrc/selective_scan/selective_scan_fwd_kernel.cuh
+++ b/csrc/selective_scan/selective_scan_fwd_kernel.cuh
@@ -223,6 +223,7 @@ void selective_scan_fwd_kernel(SSMParamsBase params) {
                         while (left <= right) {
                             if (cu_seqlens[(left + right) >> 1] == threadIdx.x * kNItems + i + chunk * kChunkSize) {
                                 thread_data[i].x = 0.f;
+                                break;
                             } else if (cu_seqlens[(left + right) >> 1] < threadIdx.x * kNItems + i + chunk * kChunkSize) {
                                 left = ((left + right) >> 1) + 1;
                             } else {
@@ -248,6 +249,7 @@ void selective_scan_fwd_kernel(SSMParamsBase params) {
                             if (cu_seqlens[(left + right) >> 1] == threadIdx.x * kNItems + i + chunk * kChunkSize) {
                                 thread_data[i].x = 0.f;
                                 thread_data[i].y = 0.f;
+                                break;
                             } else if (cu_seqlens[(left + right) >> 1] < threadIdx.x * kNItems + i + chunk * kChunkSize) {
                                 left = ((left + right) >> 1) + 1;
                             } else {