Dempsey was set for his first competitive start since the Six Nations after recovering from a hamstring injury, but he pulled up with a groin issue towards the end of the warm-up, forcing his late withdrawal from the starting side
Dempsey was sent for a scan on Monday, with Warriors waiting to see if he'll be sidelined for any further period.
"He seems OK just now," said assistant coach Scott Forrest. "He's back in the building.
"Part of it was we had to make a decision in quite a tight turnaround, when he went down near the end of the warm-up. It's hard to know if it was just a bit of a scare he got. It's not related to his previous injuries. It's something completely different.
"When we had the people that we had available - and [lock] Max Williamson was 24th man - so when you've got a Scotland international there, it's probably the safer option just to make a decision, make the change, rather than allow Jack to go and see if he can play. And then maybe you're a few minutes into the game and having to make a substitution. So part of it was precaution, let's just take the decision away from him.
"But until we get the scan results, we'll wait and see. It's crazy. He'd been flying in training. You could see he was ready to get on the pitch. So hopefully it's nothing serious and he's good to go pretty soon."
Openside flanker Rory darge had his knee heavily strapped up during lengthy treatment in Friday's 35-19 win, but played on for a further 10 minutes before being removed from the action.
"Again, it's probably more precautionary," explained Forrest. "He's going for a scan today just to see what's going on there. He's obviously got a history there.
"He felt something. He played on for a while; where the game was at that point we still had subs to make. It was [a case of] 'let's just do the right thing here and bring him off'. But again, let's see what the scan results come back with."
There was better news for Glasgow supporters with club captain Kyle Steyn in the mix to play against Benetton in Treviso on Saturday. The winger has recovered from a fractured hand, while centre Sione Tuipulotu could feature after spending the summer with the British & Irish Lions in Australia.
"He's essentially trained fully," Forrest said of Steyn. "A couple of modifications last week, but he trained fully yesterday. He looks good to go. He'll be back in that selection mix now, as is Sione as well. They're going to be pretty close to playing.
"With these Scotland players, it's how you manage them across this five weeks before the internationals come up."
Alex Craig, has still to feature after joining up from Scarlets, but the lock is also back in full training after a hamstring problem.
"He trained fully yesterday and came through that well," Forrest added. I think his legs and his lungs were probably feeling that a little bit. But that's him back in training.
"It's then a decision of when's the right time for him to play. But he'll definitely come back into the mix because having another international player, who's very experienced at URC level as well, adds another layer of competition to training, which is excellent."
Another new arrival at Scotstoun, hooker Tavi Tuipulotu - younger brother of Sione – may have a longer wait after arriving from Australia with a knee injury.
Tongan back-rower Sione Vailanu, who spent 15 months on the sidelines with a serious knee injury before returning for seven games towards the end of last season, is back in rehabilitation mode with his knee issue.
"He's working away with the S&C team and the physio team," Forrest added. "He's not in rugby just now. Hopefully, he's back on the pitch pretty soon for us, to give us some more competition in that area."