Nevertheless, the Heat shot 53 percent from the field, made 15 3-pointers and won their fourth straight.
James made 9-of-11 from the field and was 8-of-11 from the foul line. Wade shook off the flu bug to score 20 points and seven assists. Bosh and Allen both came down with the illness and were unable to play.
Miami outscored the Clippers by 24 over the middle two quarters with Mario Chalmers scoring 18 points.
Paul had missed nine games with a knee bruise, but scored only three points in his return. Billups had not played since early December due to an inflamed tendon in his left foot and Griffin had been out for two games with a hamstring strain.
Los Angeles was led by DeAndre Jordan with 17 points.