Asik managed only two minutes of game action though, entering in the first quarter before leaving the game for good.
He suffered the initial injury in the third quarter of Game 3 on Sunday and did not return.
Miami leads the series 3-1 after winning Game 4 101-93 in overtime.
"Of course, Omer has played terrific for us ... but if Omer can't go, Kurt [Thomas] will be the next guy in," Bulls coach Tom Thibodeau said after Monday's practice.
Asik is averaging only one point, two rebounds and 10 minutes per game this postseason, but he has been lauded for his defense and energy.
Nick Friedell covers the Bulls for ESPNChicago.com and ESPN 1000.