Both players took part in Saturday’s game with Ross County but Carey has a tight hamstring, while Barron is nursing a thigh problem.
Manager Danny Lennon is confident that both players will recover in time to be available for selection this weekend.
Meanwhile, Lennon is hoping that he can be afforded some extra time to run the rule over Polish trialist Patryk Mikita, 19, before making a decision on whether or not to sign the teenager.
The Legia Warsaw forward is at the club in a bid to win a loan move until the summer.