Michalik will return to his parent club Leeds on Wednesday for more treatment and will be unavailable this weekend.
The Slovakia international has made five starts this season, scoring once.
Meanwhile. Carlisle manager Greg Abbott has expressed his disappointment after Saturday's 1-0 defeat by Peterborough.
Both sides had made a bright start to the season, but Posh's win takes them above Carlisle into second place in League One.
"[It] was a big opportunity for people to come in and show us what they can do," Abbott told BBC Radio Cumbria.
"Sometimes people have to take them and not be too disappointed if they don't.
"We want a squad with depth and we want a squad that has got the 20 in it.
"I believe in them and I want them to believe in themselves.
"I want them to be able to come in when asked and perform and give a really good performance to keep our momentum and our quality going."