The midfielder was forced to retire in the first half of the quarter-final victory over Galway with a hip injury.
However, manager Eamonn Fitzmaurice said he is hopeful Sheehan will participate in an in-house game this weekend.
“Injuries are fine. We have a few bangs and bruises. We’re hoping to be picking from a full deck next week. There have been a few knocks.
“Stephen (O'Brien) is fine. Bryan has made good progress and will hopefully play football at the weekend.”
Paul O’Donoghue and Daithí Casey, who were not part of the match-day panel against Galway, remain sidelined with injury.
Fitzmaurice, meanwhile, has no issue with the appointment of David Coldrick as referee for the Mayo game.
Fitzmaurice described the Meath official’s performance in the Division 1 opener against Dublin in Croke Park back in February as “below par”.
However, he admitted his reaction was exaggerated. “That night, I was frustrated after the game. Dublin had beaten us by a point that I felt we should have won. It was the first weekend of the league and it was a bit early in the year to get excited.
“I said it that night as well that David Coldrick is a top referee. I’ve no fear about him. We’ve enough to be doing concentrating on our own thing than worrying about him, to be honest.”
Fitzmaurice refused to comment on Martin McHugh’s remarks about Colm Cooper only to say he was just as surprised about them as much as McHugh’s fellow The Sunday Game panellists, Kevin McStay and Dermot Earley.