Cliff Floyd has a sprained left ankle; Jose Reyes a sore right wrist; and Carlos Beltran a bruised left side.
Only Beltran played.
"I'm encouraged with what I've heard so far," Randolph said. "I thought Cliff hurt his Achilles, but hopefully he'll be back in this weekend.
"I thought Beltran hurt his ribs, but it's just a bruise. That's great."
Floyd hopes to play this weekend at Arizona, but it isn't likely, and Reyes said he believes he will play Thursday against the Diamondbacks.
Reyes had a second set of X-rays taken and was examined by a hand specialist, but no fracture or ligament damage was found.
REPLAY: With starters Cliff Floyd and Jose Reyes on the bench with injuries, and Carlos Delgado getting the night off, the Mets got contributions from a variety of sources to beat the Los Angeles Dodgers, 9-7, Wednesday night.
Tom Glavine survived his worst start of the season -- seven runs in 5 1/3 innings -- to get the win.
"It wasn't pretty, but I'll take it," Glavine said.
David Wright and Carlos Beltran each had three hits, and combined to score three runs and drive in three more.
The Mets also got three RBIs from Lastings Milledge on a first-inning triple and seventh-inning two-run homer.
LF Cliff Floyd said his sprained left ankle has improved and that he hopes to play this weekend at Arizona. Lastings Milledge moved over from right field to replace him in left because manager Willie Randolph preferred Endy Chavez's arm in right field.
SS Jose Reyes sat out his second straight game Wednesday with a sore right wrist, but said he hopes to play Thursday at Arizona. Chris Woodward replaced him and got two hits.
2B Jose Valentin committed two errors Tuesday, but manager Willie Randolph started him, saying he didn't want the player to think he had lost confidence. Valentin got two hits Wednesday, including a RBI double in the first.
1B Carlos Delgado didn't start against Los Angeles LHP Odalis Perez Wednesday, but is expected to start Thursday at Arizona. Julio Franco started and drove in two runs with a first-inning single.
RHP Orlando Hernandez had a win and a loss in his first two starts with the Mets, but a 6.55 ERA indicates he's been hit. He'll make his third start Thursday at Arizona.
RF Xavier Nady, who underwent an emergency appendectomy last week, hasn't done anything more taxing than riding an exercise bike.
BY THE NUMBERS: 91 -- Points 1B Carlos Delgado's average dropped during the month of May.
QUOTE TO NOTE: "I've never seen him blame nobody. We got to help him with runs. Make it easy for him. But it's not gonna be easy, because he's our ace and most of the time he faces the other team's ace." -- Mets INF Jose Valentin, on the lack of support RHP Pedro Martinez is getting. Martinez is winless in his last six starts, with five no-decisions.