Griffin missed a game for the first time this season Monday in Minnesota because of back spasms and is considered a longshot to play against the Suns.
Crawford also missed the game against the Timberwolves because of a sore left Achilles' tendon.
Earlier in March, he missed eight of nine games because of soreness in his left calf.
"It all depends on getting treatment and getting some work in," Crawford said after Monday's game.
"So I hope I can go, but we'll see. It's not like it's my calf. It was only my Achilles' because the calf wasn't firing. The Achilles' took the soreness. It wasn't like I did a move and hurt the Achilles' or anything. It's just soreness."
After the rest of the Clippers left, Davis stayed behind to take extra shots.
It has been a physical and mental grind for Davis during his five weeks with the Clippers, but the 315-pound power forward is trying make amends for his recent woes.
"We don't practice," Davis said, laughing along with the media's jokes about how little the Clippers practice under Coach Doc Rivers.
And, no, the Clippers didn't practice Tuesday when they arrived in Phoenix.
"We don't practice and I need reps. I need more mental reps," Davis said after Monday night's game. "So I have to put myself in Clippers basketball shape. They run up and down. If I want to play more minutes, I've got to be able to get up and down to play those minutes."
Davis admitted that he let "emotions get the best of me" during his run-in with Rivers on the bench Saturday night at Houston. Rivers had security escort Davis to the locker room. Davis said it happened because he wants to "help this team" so much.
In 45 games with the Orlando Magic this season, Davis averaged 30.1 minutes, 12.1 points and 6.3 rebounds.
But in 16 games with the Clippers, Davis has logged just 12.3 minutes of playing time per game, averaging 3.3 points and 2.2 rebounds.
He's also behind Griffin and center DeAndre Jordan in the rotation, limiting Davis' playing time.
"I just got here. It's going to be tough, the transition is going to be tough," Davis said. "Things are going to happen like that. But at the same time, I need to kind of take some pressure off myself and keep my composure when things aren't going right."