diff --git a/Common/Thread/ThreadManager.cpp b/Common/Thread/ThreadManager.cpp
index 4dad152ed3..514632f1f7 100644
--- a/Common/Thread/ThreadManager.cpp
+++ b/Common/Thread/ThreadManager.cpp
@@ -258,13 +258,13 @@ void ThreadManager::EnqueueTask(Task *task) {
 	chosenThread->cond.notify_one();
 }
 
-void ThreadManager::EnqueueTaskOnThread(int threadNum, Task *task) {
+void ThreadManager::EnqueueTaskOnThread(int threadNum, Task *task, bool enforceSequence) {
 	_assert_msg_(threadNum >= 0 && threadNum < (int)global_->threads_.size(), "Bad threadnum or not initialized");
 	ThreadContext *thread = global_->threads_[threadNum];
 
 	// Try first atomically, as highest priority.
 	Task *expected = nullptr;
-	bool queued = thread->private_single.compare_exchange_weak(expected, task);
+	bool queued = !enforceSequence && thread->private_single.compare_exchange_weak(expected, task);
 	// Whether we got that or will have to wait, increase the queue counter.
 	thread->queue_size++;
 
diff --git a/Common/Thread/ThreadManager.h b/Common/Thread/ThreadManager.h
index f6ddd842b2..bb7b5fd44e 100644
--- a/Common/Thread/ThreadManager.h
+++ b/Common/Thread/ThreadManager.h
@@ -46,7 +46,8 @@ public:
 	// just ignore it and let the OS handle it.
 	void Init(int numCores, int numLogicalCoresPerCpu);
 	void EnqueueTask(Task *task);
-	void EnqueueTaskOnThread(int threadNum, Task *task);
+	// Use enforceSequence if this must run after all previously queued tasks.
+	void EnqueueTaskOnThread(int threadNum, Task *task, bool enforceSequence = false);
 	void Teardown();
 
 	bool IsInitialized() const;
diff --git a/GPU/Software/BinManager.cpp b/GPU/Software/BinManager.cpp
index 9684f7fb3b..714b8b1678 100644
--- a/GPU/Software/BinManager.cpp
+++ b/GPU/Software/BinManager.cpp
@@ -257,7 +257,7 @@ void BinManager::Drain() {
 
 			waitable_->Fill();
 			DrawBinItemTask *task = new DrawBinItemTask(waitable_, item, range, states_[item.stateIndex]);
-			g_threadManager.EnqueueTaskOnThread(i, task);
+			g_threadManager.EnqueueTaskOnThread(i, task, true);
 		}
 	}
 }