The 24-year-old left-back suffered the problem in the 3-1 win over MK Dons on January 18 and has missed four games since - all defeats.
Bhasera, who was linked with a move away from the club during the January transfer window, went to South Africa to receive treatment but is now back in England working hard to regain fitness.
Reid told the Herald: "Bhasera is back from South Africa and is working in the gym. I'm hoping, having spoken to the physio, he will be fit to play within a couple of weeks.
"He went over there for four or five days for treatment from someone he knows."
Source: PA
Source: PA