diff --git a/common/version/version.go b/common/version/version.go
index 2bd2cf86b..4329e2de7 100644
--- a/common/version/version.go
+++ b/common/version/version.go
@@ -5,7 +5,7 @@ import (
 	"runtime/debug"
 )
 
-var tag = "v4.4.57"
+var tag = "v4.4.59"
 
 var commit = func() string {
 	if info, ok := debug.ReadBuildInfo(); ok {
diff --git a/coordinator/internal/logic/provertask/chunk_prover_task.go b/coordinator/internal/logic/provertask/chunk_prover_task.go
index 314a3b575..fb0755b47 100644
--- a/coordinator/internal/logic/provertask/chunk_prover_task.go
+++ b/coordinator/internal/logic/provertask/chunk_prover_task.go
@@ -65,7 +65,7 @@ func (cp *ChunkProverTask) Assign(ctx *gin.Context, getTaskParameter *coordinato
 	for i := 0; i < 5; i++ {
 		var getTaskError error
 		var tmpChunkTask *orm.Chunk
-		tmpChunkTask, getTaskError = cp.chunkOrm.GetAssignedChunk(ctx.Copy(), maxActiveAttempts, maxTotalAttempts)
+		tmpChunkTask, getTaskError = cp.chunkOrm.GetAssignedChunk(ctx.Copy(), maxActiveAttempts, maxTotalAttempts, getTaskParameter.ProverHeight)
 		if getTaskError != nil {
 			log.Error("failed to get assigned chunk proving tasks", "height", getTaskParameter.ProverHeight, "err", getTaskError)
 			return nil, ErrCoordinatorInternalFailure
@@ -74,7 +74,7 @@ func (cp *ChunkProverTask) Assign(ctx *gin.Context, getTaskParameter *coordinato
 		// Why here need get again? In order to support a task can assign to multiple prover, need also assign `ProvingTaskAssigned`
 		// chunk to prover. But use `proving_status in (1, 2)` will not use the postgres index. So need split the sql.
 		if tmpChunkTask == nil {
-			tmpChunkTask, getTaskError = cp.chunkOrm.GetUnassignedChunk(ctx.Copy(), maxActiveAttempts, maxTotalAttempts)
+			tmpChunkTask, getTaskError = cp.chunkOrm.GetUnassignedChunk(ctx.Copy(), maxActiveAttempts, maxTotalAttempts, getTaskParameter.ProverHeight)
 			if getTaskError != nil {
 				log.Error("failed to get unassigned chunk proving tasks", "height", getTaskParameter.ProverHeight, "err", getTaskError)
 				return nil, ErrCoordinatorInternalFailure
diff --git a/coordinator/internal/orm/chunk.go b/coordinator/internal/orm/chunk.go
index a0d701b93..42e230b8b 100644
--- a/coordinator/internal/orm/chunk.go
+++ b/coordinator/internal/orm/chunk.go
@@ -74,11 +74,11 @@ func (*Chunk) TableName() string {
 
 // GetUnassignedChunk retrieves unassigned chunk based on the specified limit.
 // The returned chunks are sorted in ascending order by their index.
-func (o *Chunk) GetUnassignedChunk(ctx context.Context, maxActiveAttempts, maxTotalAttempts uint8) (*Chunk, error) {
+func (o *Chunk) GetUnassignedChunk(ctx context.Context, maxActiveAttempts, maxTotalAttempts uint8, height uint64) (*Chunk, error) {
 	var chunk Chunk
 	db := o.db.WithContext(ctx)
-	sql := fmt.Sprintf("SELECT * FROM chunk WHERE proving_status = %d AND total_attempts < %d AND active_attempts < %d AND chunk.deleted_at IS NULL ORDER BY chunk.index LIMIT 1;",
-		int(types.ProvingTaskUnassigned), maxTotalAttempts, maxActiveAttempts)
+	sql := fmt.Sprintf("SELECT * FROM chunk WHERE proving_status = %d AND total_attempts < %d AND active_attempts < %d AND end_block_number <= %d AND chunk.deleted_at IS NULL ORDER BY chunk.index LIMIT 1;",
+		int(types.ProvingTaskUnassigned), maxTotalAttempts, maxActiveAttempts, height)
 	err := db.Raw(sql).Scan(&chunk).Error
 	if err != nil {
 		return nil, fmt.Errorf("Chunk.GetUnassignedChunk error: %w", err)
@@ -91,11 +91,11 @@ func (o *Chunk) GetUnassignedChunk(ctx context.Context, maxActiveAttempts, maxTo
 
 // GetAssignedChunk retrieves assigned chunk based on the specified limit.
 // The returned chunks are sorted in ascending order by their index.
-func (o *Chunk) GetAssignedChunk(ctx context.Context, maxActiveAttempts, maxTotalAttempts uint8) (*Chunk, error) {
+func (o *Chunk) GetAssignedChunk(ctx context.Context, maxActiveAttempts, maxTotalAttempts uint8, height uint64) (*Chunk, error) {
 	var chunk Chunk
 	db := o.db.WithContext(ctx)
-	sql := fmt.Sprintf("SELECT * FROM chunk WHERE proving_status = %d AND total_attempts < %d AND active_attempts < %d  AND chunk.deleted_at IS NULL ORDER BY chunk.index LIMIT 1;",
-		int(types.ProvingTaskAssigned), maxTotalAttempts, maxActiveAttempts)
+	sql := fmt.Sprintf("SELECT * FROM chunk WHERE proving_status = %d AND total_attempts < %d AND active_attempts < %d AND end_block_number <= %d AND chunk.deleted_at IS NULL ORDER BY chunk.index LIMIT 1;",
+		int(types.ProvingTaskAssigned), maxTotalAttempts, maxActiveAttempts, height)
 	err := db.Raw(sql).Scan(&chunk).Error
 	if err != nil {
 		return nil, fmt.Errorf("Chunk.GetAssignedChunk error: %w", err)