diff --git a/be/src/pipeline/pipeline_task.cpp b/be/src/pipeline/pipeline_task.cpp
index 36f2066c9abed7..e06b8028c9c730 100644
--- a/be/src/pipeline/pipeline_task.cpp
+++ b/be/src/pipeline/pipeline_task.cpp
@@ -227,14 +227,20 @@ bool PipelineTask::_wait_to_start() {
     _blocked_dep = _execution_dep->is_blocked_by(this);
     if (_blocked_dep != nullptr) {
         static_cast<Dependency*>(_blocked_dep)->start_watcher();
-        return !_wake_up_by_downstream;
+        if (_wake_up_by_downstream) {
+            _eos = true;
+        }
+        return true;
     }
 
     for (auto* op_dep : _filter_dependencies) {
         _blocked_dep = op_dep->is_blocked_by(this);
         if (_blocked_dep != nullptr) {
             _blocked_dep->start_watcher();
-            return !_wake_up_by_downstream;
+            if (_wake_up_by_downstream) {
+                _eos = true;
+            }
+            return true;
         }
     }
     return false;
@@ -249,7 +255,10 @@ bool PipelineTask::_is_blocked() {
                 _blocked_dep = dep->is_blocked_by(this);
                 if (_blocked_dep != nullptr) {
                     _blocked_dep->start_watcher();
-                    return !_wake_up_by_downstream;
+                    if (_wake_up_by_downstream) {
+                        _eos = true;
+                    }
+                    return true;
                 }
             }
             // If all dependencies are ready for this operator, we can execute this task if no datum is needed from upstream operators.
@@ -268,7 +277,10 @@ bool PipelineTask::_is_blocked() {
         _blocked_dep = op_dep->is_blocked_by(this);
         if (_blocked_dep != nullptr) {
             _blocked_dep->start_watcher();
-            return !_wake_up_by_downstream;
+            if (_wake_up_by_downstream) {
+                _eos = true;
+            }
+            return true;
         }
     }
     return false;
diff --git a/be/src/pipeline/pipeline_task.h b/be/src/pipeline/pipeline_task.h
index a73393fb270885..e216ef103766fd 100644
--- a/be/src/pipeline/pipeline_task.h
+++ b/be/src/pipeline/pipeline_task.h
@@ -90,7 +90,7 @@ class PipelineTask {
             _blocked_dep = fin_dep->is_blocked_by(this);
             if (_blocked_dep != nullptr) {
                 _blocked_dep->start_watcher();
-                return !_wake_up_by_downstream;
+                return true;
             }
         }
         return false;