Andrew Browne suffered a hamstring tear during last Saturday's narrow derby defeat to Leinster and it has been confirmed that the Galway man will be sidelined for at least four weeks.
Fellow back rower Aaron Conneely sustained an ankle injury during yesterday's training session and has also been ruled out for three to four weeks.
Meanwhile, the province will be without the services of Ireland international Robbie Henshaw this week as the 20-year-old remains in camp with the national squad in Carton Hous.
Kick-off for Saturday's duel between Connacht and Glasgow is at 5pm and the only way to get in on the action is to get down to the Sportsground.
Tickets start at €20 for adults and €5 for all juniors and are available from tickets.ie, the Connacht Rugby office and Centra and SuperValu stores province-wide.