ST. PETERSBURG -- The Rays have been beat up with injuries over the last month, but they’re close to getting both of their catchers back over the next week or so.

Both Mike Zunino and Michael Perez went through drills before Monday’s game, and if all goes well, they could both go on a rehab assignment within the next week.

“Right now, Mike Zunino -- we’re going to make a call in the next day or two on when he goes on rehab,” said Tampa Bay manager Kevin Cash. “Mikey Perez, maybe in the near future, but not quite there [yet].”

Zunino, who has been sidelined since May 10 with a left quad issue, caught live batting practice in Port Charlotte on Friday. The Rays catcher hopes to play in a five-inning game and multiple seven-inning games over the next couple of days, and he believes that rejoining the team on the next road trip is a very realistic possibility.

“Everything is going well,” Zunino said. “[Depending] on how everything bounces back and if it does, I think [joining the team in Detroit] could be a really realistic goal.”

Perez took batting practice on Monday and said he feels about 90 to 95 percent healthy with his right oblique. The plan is for him to catch live batting practice on Friday and then the team will make a decision. He’s hoping he can get into rehab games either on Saturday or Sunday.

Glasnow feeling 'really good'
Over the weekend, the Rays put Tyler Glasnow on the 60-day injured list, which was a surprising move considering the initial timeline had the right-hander returning in four to six weeks, after he sustained a mild right forearm strain.

With the move, Glasnow won’t be eligible to return from the IL until July 10, which is the first game after the All-Star break. Glasnow said he understood the move, but it was still frustrating because he felt he was progressing well.

"I get it, but [I was] also pretty pissed off initially,” Glasnow said. “I feel like I’ve been progressing really well and that I could’ve gotten back a little earlier, but they want me to build up to live five innings. I understand coming off a strain like that, you want to be cautious as [possible, as] opposed to going out there and throwing too early. But like I said, it’s mixed emotions. Definitely pissed off, but also I understand.”

Glasnow said he is confident he will be ready to return once the 60 days are up.

“I think I’ll be good,” Glasnow said. “I threw today and I feel really good. I think that’s where the frustration stems from, just because of how good I feel. I feel like I can come back before, but like I said, probably pretty smart not to push it. There’s a lot more meaningful innings to be thrown later in the season.”

Injury update roundup
• Yandy Diaz won’t be eligible to return from the injured list until Thursday, and it’s still unclear when he’ll return to the Rays' lineup after sustaining a left hand injury.

“He didn’t touch a bat for the Cleveland series,” Cash said. “I would imagine he will check on it today, but if it’s still sore, he’s got some time so we don’t want to aggravate it, but hopefully he continues to make progress. He says he is, but he hasn’t really tested it out.”

If all goes well, it’s unclear if Diaz would need a rehab game or two before rejoining the team.

• Matt Duffy, who reaggravated his left hamstring in a rehab game last Wednesday at Triple-A Durham, said, “frustrated doesn’t begin to describe” how he feels about the injury.

Duffy said he felt some soreness after Sunday’s game, but played through it on Monday and Tuesday and felt the hamstring tighten up more during Wednesday’s game. Duffy will get re-evaluated over the next few weeks, but the news is a big blow for Tampa Bay, which could’ve used his right-handed bat against opposing left-handers.

“Matt has worked really hard to get back, and sometimes you just scratch your head at some of these injuries,” Cash said. “Believe me, he wants to be out there, he wants to be contributing. He’s watched enough games from the dugout to appreciate the impact that he can have on the field for us.”

• As for Rays infielder Joey Wendle, he took swings again after the cast on his right hand was removed last week. There’s still no timetable for Wendle’s return, but his wrist is progressing well.

“Today I took swings for the second time,” Wendle said. “I felt good compared to what it felt a couple of days ago. There’s still a little bit of discomfort, but I think that’s kind of par for the course of where we are. I kind of got word that the bone is stable, so I think I’m in a position to push it a little bit, but not too much.

“I’ve been throwing to about 90 feet with a little velocity on it, and that felt pretty good, also. I’m definitely encouraged with how things are going.”