Clippers head coach Doc Rivers confirmed the injury was to the Paul's shooting arm and expects the six-time All Star to be out of action for three to five weeks.
"We know it's a separated shoulder. We don't know what grade it is yet. We'll probably send him home and he'll get evaluated in LA, and just hope that he's going to be okay," Rivers told reporters.
Dallas guard Monta Ellis fouled Paul with 6:43 remaining in the third quarter, inflicting the injury and taking the guard out of the game after he had scored 19 points with six assists.
Paul started the contest averaging 19.6 points and an NBA-high 11.3 assists a game for the Western Conference Pacific Division leaders, who improved to 23-12 following Friday's victory.