diff --git a/ydb/core/fq/libs/checkpointing/checkpoint_coordinator.cpp b/ydb/core/fq/libs/checkpointing/checkpoint_coordinator.cpp
index 6c2b5d9afd31..4624c456d36c 100644
--- a/ydb/core/fq/libs/checkpointing/checkpoint_coordinator.cpp
+++ b/ydb/core/fq/libs/checkpointing/checkpoint_coordinator.cpp
@@ -372,11 +372,12 @@ void TCheckpointCoordinator::Handle(const TEvCheckpointCoordinator::TEvScheduleC
     CC_LOG_D("Got TEvScheduleCheckpointing");
     ScheduleNextCheckpoint();
     const auto checkpointsInFly = PendingCheckpoints.size() + PendingCommitCheckpoints.size();
-    if (checkpointsInFly >= Settings.GetMaxInflight() || InitingZeroCheckpoint) {
+    if (checkpointsInFly >= Settings.GetMaxInflight() || (InitingZeroCheckpoint && !FailedZeroCheckpoint)) {
         CC_LOG_W("Skip schedule checkpoint event since inflight checkpoint limit exceeded: current: " << checkpointsInFly << ", limit: " << Settings.GetMaxInflight());
         Metrics.SkippedDueToInFlightLimit->Inc();
         return;
     }
+    FailedZeroCheckpoint = false;
     Metrics.SkippedDueToInFlightLimit->Set(0);
     InitCheckpoint();
 }
@@ -389,6 +390,7 @@ void TCheckpointCoordinator::Handle(const TEvCheckpointStorage::TEvCreateCheckpo
     if (issues) {
         CC_LOG_E("[" << checkpointId << "] StorageError: can't create checkpoint: " << issues.ToOneLineString());
         PendingCheckpoints.erase(checkpointId);
+        FailedZeroCheckpoint = InitingZeroCheckpoint;
         UpdateInProgressMetric();
         ++*Metrics.FailedToCreate;
         ++*Metrics.StorageError;
@@ -470,6 +472,7 @@ void TCheckpointCoordinator::Handle(const NYql::NDq::TEvDqCompute::TEvSaveTaskSt
             CC_LOG_E("[" << checkpointId << "] Got all acks for aborted checkpoint, aborting in storage");
             CheckpointingSnapshotRotationIndex = CheckpointingSnapshotRotationPeriod;  // Next checkpoint is snapshot.
             Send(StorageProxy, new TEvCheckpointStorage::TEvAbortCheckpointRequest(CoordinatorId, checkpointId, "Can't save node state"), IEventHandle::FlagTrackDelivery);
+            FailedZeroCheckpoint = InitingZeroCheckpoint;
         } else {
             CC_LOG_I("[" << checkpointId << "] Got all acks, changing checkpoint status to 'PendingCommit'");
             Send(StorageProxy, new TEvCheckpointStorage::TEvSetCheckpointPendingCommitStatusRequest(CoordinatorId, checkpointId, checkpoint.GetStats().StateSize), IEventHandle::FlagTrackDelivery);
@@ -494,6 +497,7 @@ void TCheckpointCoordinator::Handle(const TEvCheckpointStorage::TEvSetCheckpoint
         CC_LOG_E("[" << checkpointId << "] StorageError: can't change checkpoint status to 'PendingCommit': " << issues.ToString());
         ++*Metrics.StorageError;
         PendingCheckpoints.erase(it);
+        FailedZeroCheckpoint = InitingZeroCheckpoint;
         return;
     }
 
@@ -571,6 +575,7 @@ void TCheckpointCoordinator::Handle(const TEvCheckpointStorage::TEvAbortCheckpoi
         ++*Metrics.Aborted;
     }
     PendingCheckpoints.erase(checkpointId);
+    FailedZeroCheckpoint = InitingZeroCheckpoint;
     PendingCommitCheckpoints.erase(checkpointId);
     UpdateInProgressMetric();
 }
@@ -616,6 +621,8 @@ void TCheckpointCoordinator::Handle(NActors::TEvents::TEvPoison::TPtr& ev) {
 }
 
 void TCheckpointCoordinator::Handle(const TEvCheckpointCoordinator::TEvRunGraph::TPtr&) {
+    Y_DEBUG_ABORT_UNLESS(InitingZeroCheckpoint);
+    Y_DEBUG_ABORT_UNLESS(!FailedZeroCheckpoint);
     InitingZeroCheckpoint = false;
     // TODO: run graph only now, not before zero checkpoint inited
 }
diff --git a/ydb/core/fq/libs/checkpointing/checkpoint_coordinator.h b/ydb/core/fq/libs/checkpointing/checkpoint_coordinator.h
index 280130f38163..b5740178dadd 100644
--- a/ydb/core/fq/libs/checkpointing/checkpoint_coordinator.h
+++ b/ydb/core/fq/libs/checkpointing/checkpoint_coordinator.h
@@ -193,6 +193,7 @@ class TCheckpointCoordinator : public NYql::TTaskControllerImpl<TCheckpointCoord
     std::unique_ptr<TPendingInitCoordinator> PendingInit;
     bool GraphIsRunning = false;
     bool InitingZeroCheckpoint = false;
+    bool FailedZeroCheckpoint = false;
     bool RestoringFromForeignCheckpoint = false;
 
     TCheckpointCoordinatorMetrics Metrics;
diff --git a/ydb/core/fq/libs/checkpointing/ut/checkpoint_coordinator_ut.cpp b/ydb/core/fq/libs/checkpointing/ut/checkpoint_coordinator_ut.cpp
index bab3c2aec960..77cc91fbff37 100644
--- a/ydb/core/fq/libs/checkpointing/ut/checkpoint_coordinator_ut.cpp
+++ b/ydb/core/fq/libs/checkpointing/ut/checkpoint_coordinator_ut.cpp
@@ -411,7 +411,6 @@ Y_UNIT_TEST_SUITE(TCheckpointCoordinatorTests) {
                 TEvCheckpointStorage::TEvCompleteCheckpointRequest(CoordinatorId, checkpointId, 300, type));
 
             MockCompleteCheckpointResponse(checkpointId);
-            MockRunGraph();
         }
 
         void SaveFailed(TCheckpointId checkpointId) {
@@ -423,7 +422,6 @@ Y_UNIT_TEST_SUITE(TCheckpointCoordinatorTests) {
             ExpectEvent(StorageProxy, 
                TEvCheckpointStorage::TEvAbortCheckpointRequest( CoordinatorId, checkpointId, "Can't save node state"));
             MockAbortCheckpointResponse(checkpointId);
-            MockRunGraph();
         }
 
         void ScheduleCheckpointing() {
@@ -436,6 +434,7 @@ Y_UNIT_TEST_SUITE(TCheckpointCoordinatorTests) {
         test.RegisterCoordinator();
         test.InjectCheckpoint(test.CheckpointId1);
         test.AllSavedAndCommited(test.CheckpointId1);
+        test.MockRunGraph();
     }
 
     Y_UNIT_TEST(ShouldTriggerCheckpointWithSourcesAndWithChannel) {
@@ -443,6 +442,7 @@ Y_UNIT_TEST_SUITE(TCheckpointCoordinatorTests) {
         test.RegisterCoordinator();
         test.InjectCheckpoint(test.CheckpointId1);
         test.AllSavedAndCommited(test.CheckpointId1);
+        test.MockRunGraph();
     }
 
     Y_UNIT_TEST(ShouldAllSnapshots) {
@@ -450,6 +450,7 @@ Y_UNIT_TEST_SUITE(TCheckpointCoordinatorTests) {
         test.RegisterCoordinator();
         test.InjectCheckpoint(test.CheckpointId1);
         test.AllSavedAndCommited(test.CheckpointId1);
+        test.MockRunGraph();
 
         test.ScheduleCheckpointing();
         test.InjectCheckpoint(test.CheckpointId2, test.GraphDescId, NYql::NDqProto::CHECKPOINT_TYPE_SNAPSHOT);
@@ -461,6 +462,7 @@ Y_UNIT_TEST_SUITE(TCheckpointCoordinatorTests) {
         test.RegisterCoordinator();
         test.InjectCheckpoint(test.CheckpointId1);
         test.AllSavedAndCommited(test.CheckpointId1);
+        test.MockRunGraph();
 
         test.ScheduleCheckpointing();
         test.InjectCheckpoint(test.CheckpointId2, test.GraphDescId, NYql::NDqProto::CHECKPOINT_TYPE_INCREMENT_OR_SNAPSHOT);