In modern data centers, due to the deadline-agnostic congestion control in transmission control protocol (TCP), many deadline-sensitive flows cannot finish sending before their deadline. Therefore, providing high deadline meeting ratio becomes a critical challenge in typical OLDI (online data intensive) applications of DCN. Under the partition-aggregate workflow pattern, since all the responses of single request have the same flow deadline and size, they are likely to respond nearly at the same time, which may result in that all flows with similar priority miss their deadlines. In this paper, two kinds of deadline-aware TCP, HPD and P²D are proposed. By using the novel deceleration, HPD and P²D alleviate the impact of priority synchronization problem. At-scale NS2 simulations show that P²D reduces the fraction of missed deadlines by 20% compared to D²TCP.