Brandon Nimmo is knocking on the door.

The Mets outfielder had his rehab assignment transferred to Triple-A Syracuse Tuesday at Lehigh Valley. He played five innings in center field and went 2-for-3 with an RBI and was hit by pitch.

“That makes us feel more optimistic about him coming back and helping us, because we can use him,” manager Mickey Callaway said before the Mets beat the Indians 9-2 at Citi Field. “He’s a great player, he’s a bat, he can play center field, he can play left and right, and that versatility and that on-base [percentage] and that power he brings is very valuable. So we’re excited he’s in Syracuse tonight.”

Nimmo has been on the injured list since May 21 with a bulging disk in his neck. His last shot at a comeback was cut short when his rehab assignment with Syracuse ended and he was shut down for a month. He started his latest rehab stint on Friday, and in two games with Single-A St. Lucie, went 1-for-6 with a walk.

Callaway said there is no set number of games the Mets want Nimmo to play in Triple-A before he is ready to be activated.

“I think we have to really lean on Nim for that,” Callaway said. “He’s been out a long time, so we want him to feel totally comfortable in the box. We want him to feel totally comfortable out there in the outfield.”

J.D. Davis (calf) was back in left field for the first time since Friday and hit a two-run homer, but the Mets still selected the contract of veteran outfielder Rajai Davis from Triple-A, in part to protect themselves. They did so by sacrificing a bullpen arm, optioning Walker Lockett to Syracuse and designating Brooks Pounders for assignment to make room on the 40-man roster.

“We weren’t quite sure coming into today [about Davis],” Callaway said. “We want to make sure we’re covered in case something happens. The second part is we feel like there’s a lot of value there. We feel like we’re in a good with our bullpen right now and their usage. We can always make an adjustment if we need to, but we feel Raj can help us win a game.”

Rajai Davis entered as a pinch hitter and went 1-for-2 with an RBI double.

Jeff McNeill (hamstring) took batting practice and ran the bases. He is eligible to be activated off the injured list Saturday, but Callaway did not say if that would happen.

“He had a great day today,” Callaway said. “He looked really good running the bases. And he always looks good swinging the bat, so BP was good. But we don’t have a timeline. We’ll see how he comes out of today.”