The Foxes will lose Harvey Barnes as he is set to have knee surgery, and will miss six weeks.
However, Vardy should be okay, even though he is struggling with a calf problem.
Leicester lost 3-1 to Arsenal at home, and the result was a blow to their top four hopes.
"I think Jamie Vardy is okay. He felt his calf go making a pass but it was fine for the rest of the game," Rodgers told reporters shortly after Leicester's loss.
"It looks like Harvey Barnes is going to need an operation on his knee.
"I just spoke to the doctor and he might be out for six weeks.
"That will be a huge blow for us."