No. 3 North Carolina's coach Roy Williams was pessimistic Monday about the injured point guard, "I don't feel real good about him playing," Williams said during the ACC.
Williams said he wouldn't know Lawson's status until after practice Tuesday.
The sophomore point guard didn't return after he sprained his left ankle early in the first half of the Tar Heels' 84-73 overtime victory at Florida State on Sunday. X-rays showed no broken bones, Williams said.
Lawson's top backup, Bobby Frasor, is out for the season with torn knee ligaments. That leaves third-stringer Quentin Thomas and starting swingman Marcus Ginyard as options if Lawson can't play.
Ginyard is battling a case of turf toe.