Josh Strauss (head injury) and Ryan Wilson (hamstring) were both forced off during Glasgow's 23-19 PRO12 defeat to the Blues on Friday, while another head injury to hooker Fraser Brown, who has played in the Glasgow back-row, further limits the options.
Head coach Gregor Townsend may be have to call up more youngsters for next weekend's match against unbeaten Ulster at Scotstoun.
"The Josh Strauss injury was a blow to him and us," said Gregor in the Sunday Herald. "He was defending really well and making some big carries so to lose him on half-time meant we were restricted in what we wanted to change in the second half.
"We have two HIAs (head injury assessments) with Fraser and Josh, Tim Swinson got a rib injury after moving to the back row initially, Nick Grigg had cramp, Ryan Wilson had hamstring tightness.
"We will wait before deciding because we lost Simone Favaro last week in the back row as well. It is a test of the squad depth and we are pretty good in terms of injuries apart from in the back row.
"Lewis Wynne has been in our camp and involved in our first three games, Matt Fagerson was with us tonight as 24th man so we do have young guys who are next in line if the opportunity comes."