Bailly is out for a few months after undergoing a knee operation in Barcelona.
The Ivory Coast defender was injured in a friendly game during the club's preseason tour.
When asked if Bailly's injury would change some decisions United make in the market, Solskjaer said: "No, not really.
"Eric was a big blow for us. He had an operation just before summer, he worked hard and now it's the other knee.
"It is never nice when you get a bad injury but luckily the surgeon was happy with the repair and he'll be fine when he comes back."