According to Fightful Select, Lio Rush will be a regular on AEW programming going forward.
However, Fightful Select indicates that (at time of their report was published), it is not known if he has officially signed with AEW. Rush is also currently working independent shows as well.
Fightful Select also notes that AEW does have creative plans for Rush, as he has been recently added to the newest intro video for Collision. Fightful Select further notes that sources told them he has made a positive impression with his latest return and even had spoken with Tony Khan.