Mike Modano did not skate with the Stars on Tuesday, but the veteran could return to the lineup as soon as Thursday, coach Dave Tippett said.
Modano has missed four games since suffering a hip flexor injury in a game against the San Jose Sharks on Dec. 4.
He is still listed as day-to-day.
Modano has 10 goals this season and 495 in his career. He is eight goals away from passing Joe Mullen (502) for most goals by an U.S.-born NHL player. Modano also is 30 points from passing Phil Housley (1,232) for most NHL points by an American.