All four players went through the team's shootaround earlier Friday.
Crawford missed Wednesday night's game with a sore right shoulder, and the Clippers monitored his injury throughout the day Friday, team sources said.
Griffin sat out the previous two games with a strained left hamstring. Paul had missed nine straight games and 12 overall with a bruised right kneecap. Billups had played only three games this season while dealing with peroneal tendinitis in his left foot.
"We're trying to get our team back together," coach Vinny Del Negro said before the game. "Right now, it's just about trying to manage through the injuries, trying to see if we can become whole as we move through this long road trip."
For as strong as the Clippers have been at times this season -- including a 17-game winning streak from Nov. 28 through Dec. 30 -- Thursday marked the first time Del Negro had all 15 players available for practice. Even that was limited, since Griffin's leg kept him from participating in any full-court portion of the workout.
"We've got to get our rotations down, figure out who's healthy and what we can go to at certain times," Del Negro said. "And that's going to take a little more concentration on our guys' part and understanding what we can do out there on a consistent basis."
Information from The Associated Press was used in this report.