The Clippers play at San Antonio on Saturday.
Paul was tripped by Mavericks guard Monta Ellis while dribbling around a screen. He rolled over and stayed on the floor holding his shoulder while trainers attended to him.
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After staying down for about a minute, Paul went to the locker room with 6:43 remaining in third quarter.
Team officials said Paul would not return to the game.
Paul scored 19 points in the first half and made his first five shots, all from 3-point range.
