With 14:31 left in the second period, Pisani was knocked into the Dallas bench on a hard check by Dallas defenseman Mark Fistric.
Pisani's head struck the edge of the bench and he was down for several minutes before being helped to the locker room.
Fistric received a double-minor for roughing and interference.
Following the contest Blackhawks coach Joel Quenneville said all three players are day-to-day with upper body injuries.
Jesse Rogers and The Associated Press contributed to this report.