Amon ran non-stop. The Shadowless Sprint allowed him to conserve energy while continuing running. He also did not need any sleep. So, he ran days and nights.
Because he was running at full speed, he reached the next checkpoint station one day earlier than predicted. Yet, he didn't stop there. He continued to run. He had no need to sleep in a comfortable bed or resupply. He still had enough dried food to consume while running. Furthermore, the checkpoint station would be the first place Wei Sui came to check when she regained her senses. So, he continued running, trying to put as much distance as possible between him and his pursuers.
Once he reached Qishurg city, he could blend in with the crowd. At that time, it would be difficult for Wei Sui to find him. Not to mention, attacking someone in the streets of the city would surely attract the attention of the city guards.