NEW YORK –

Carlos Rodon won’t be returning anytime soon.

On the disabled list with upper bicep bursitis since the start of the season, the only throwing Rodon is doing in Arizona is on flat ground.

Once he gets on a mound, the club will have a better sense of the timetable for a minor-league rehab assignment, general manager Rick Hahn said. When Rodon was put on the DL, Hahn indicated Rodon would be throwing off a mound by now.

“It’s unpredictable,’’ Hahn said. “We are responding to symptoms and how he feels and the key is he feels good and he’s making progress.’’

As the season progresses, the possibility of Rodon not pitching until after the All-Star break seems a possibility. Hahn said he has no concern, though, about the health of the Sox’ No. 3 overall draft pick in 2014.

“As I’ve said from the start, we are going to take as much time as this needs to do it the right way,’’ Hahn said. “There’s no urgency to rush him back.’’

Injury updates

Right-hander Jake Petricka (lat) is doing exercises, Hahn said, but not throwing yet. “Could still be a while,’’ he said.

 Right-hander Juan Minaya (abdominal tear), on the DL since March 18, is expected to go on rehab assignment next week.

 Center fielder Charlie Tilson (right foot) was out of his walking boot Monday and will begin ramping up load-bearing activity. “No time frame on him to return to games much less return to the big leagues,’’ Hahn said. “But progress.’’

 Catcher Geovany Soto (right elbow), who went on the 10-day DL retroactive to April 12, is throwing without pain.

 Todd Frazier (flu) was feeling better and available to pinch hit Tuesday. He could start Wednesday.

 Manager Rick Renteria, who was using crutches because of a bad knee Monday, put them aside Tuesday. He had an MRI, though. “It’s just inflammation,’’ Renteria said.

Sticking with May

Hahn said the Sox will continue to give Jacob May, who is hitless in his first 24 major-league at-bats, a run in center field and a chance to show what he can do.

“I feel for the kid,’’ Hahn said. “You just want more than anything for him to get any sort of knock because you think it will release some of the anxiety that has to be building up for him.’’

May is a career .273 hitter in the minors. He hit .266 with a .309 on-base at Charlotte in 2016.

Leury Garcia started in center Tuesday and homered in his first at-bat.

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