SAN DIEGO — The Twins are moving closer to getting both star shortstop Carlos Correa and standout center fielder Byron Buxton back from the injured list, though they haven’t publicly laid out timelines for either player.

Head athletic trainer Nick Paparesta did not rule out a Friday return for Buxton, who is on the IL with hip inflammation, but he said they will need to assess Buxton on Thursday’s off day before knowing if that might be possible. A potential rehab assignment for Buxton, Paparesta said, would be at his discretion.

“He has been hitting in the cage, throwing, doing outfield work,” Paparesta said. “Things are going well, progressing along nicely.”

Buxton’s magnetic resonance imaging and ultrasound came back clean, and the Twins were holding out hope that he could come on the current road trip before eventually placing him on the injured list on Aug. 15. Buxton received a cortisone shot, and Paparesta previously said they believed that this might be some scar tissue from a previous issue that started causing this inflammation.

Correa, meanwhile, has been out since before the all-star break with plantar fasciitis but has been hitting, throwing and taking groundballs, as well as running.

“We’re just kind of in a little bit of a pain management situation with Carlos, trying to make sure that we can keep him comfortable, see how each day goes,” Paparesta said.

Paparesta said Correa stated that he felt better running on Tuesday than he had even a couple of days ago. Correa has not run the bases yet and is still reporting feeling discomfort in his right foot.

“As cliché as it sounds, it’s truly day to day on how he’s going to do and what we can do with him,” Paparesta said.

In other injury news, infielder Brooks Lee, sidelined with biceps tendinitis, has been throwing pain-free and has been hitting from both sides of the plate. Due to recent concerts at Target Field, Paparesta said they haven’t been able to get him out on the field at home, but the Twins plan on having him head over to St. Paul to work out with the Saints on Thursday.

Alex Kirilloff, out since June 13 with a back injury, was about to go on a rehab assignment last week before he sprained his ankle doing a change-of-direction drill. He will run the bases in the next couple of days.

“He has been able to swing and do his activities that he’s been needing to do,” Paparesta said. “He should be heading out soon.”

Reliever Kody Funderburk is finishing up his long toss program, and the Twins hope to get him off the mound this weekend when they get home, while fellow reliever Justin Topa is on hold because of elbow inflammation.

Lastly, starting pitcher Chris Paddack is also on hold from throwing until he gets magnetic resonance imaging done on Tuesday and Dr. Keith Meister, who performed his Tommy John surgery a couple of years ago, takes a look at it and clears him. Paddack has been on the injured list for a month with a forearm strain.