The Spaniard was replaced at half-time with a knee complaint and could now miss the Champions League meeting this week.
"Let's have a little check on [De Gea]," Solskjaer told Sky Sports. "Hopefully he will be ok for Wednesday but I'm not sure.
"Dean played well though. He is a 'keeper who is used to being vocal. He wants to organise his team. He didn't have big saves to make but he was safe with his hands."