The Hungarian missed this afternoon's goalless draw against Sheffield Wednesday after picking up the injury in training.
"It just seems to be the way things are going for us at the moment," Trotters boss Dougie Freedman told the club's official website.
"Adam will be out for around eight weeks after a ball rebounded off a post and hit his little finger awkwardly."
Today's point means that Bolton now have two after six Championship games. They remain in the bottom three.