The Scotland midfielder has been in and out of Neil Lennon's line-up because of the injury but feels he is on the road to recovery ahead of tonight's Champions League meeting with Catalan giants Barcelona.
"I am starting to feel a lot better. I have had a lot of rest and my body is slowly getting better and better," said Brown.
"I have managed to play three games in a row and I am feeling the benefits.
"So hopefully I am over the worst of it. You can never tell what is around the corner but my body is feeling good just now and if I can keep training day in, day out, playing two or three games a week, I am happy with that."