CHICAGO — The Minnesota Twins, fighting to keep their postseason aspirations alive, are close to getting a significant boost: All-Star right-hander Joe Ryan appears ready to rejoin the rotation. Ryan, who has been on the injured list for nearly a month because of a left glute strain, threw a brief bullpen session of 25 to 30 pitches Saturday afternoon at Rate Field, just before the Twins took on the Chicago White Sox.

“It felt good to get out there,” Ryan said. “I was throwing as hard as I was in the rehab game in the bullpen early. That’s probably a good thing.”

The session came after he made a rehab start Tuesday with the Triple-A St. Paul Saints, tossing three innings and 42 pitches against the Royals’ affiliate. He allowed just one run, a solo home run, and reported no setbacks. The bullpen work on Saturday allowed him to continue refining his mechanics, particularly ensuring his delivery would not aggravate the injury.

“I felt a lot more consistent this week in being able to be around the team, kind of stick to a routine, work with some people and do some things I haven’t been able to do for a while,” Ryan added. “It was good to have a good week of that. Felt great.”

Manager Derek Shelton stopped short of confirming a specific date but gave a strong indication that Ryan’s next start will be in the big leagues. “I think we’ll wait and see where he’s at, but I would say there’s a good chance that his next start would be in the big leagues,” Shelton said. The team heads to Detroit after Sunday’s game in Chicago, making a start there the most likely scenario.

Ryan’s absence began after a rough stretch in the second half. In three starts before landing on the IL, he allowed 16 earned runs across 15 1/3 innings, and he acknowledged feeling off mechanically. The rehab assignment gave him time to reset. “I obviously want to come back and make a push. I didn’t want to miss this time in the first place,” Ryan said. “It’s been tough mentally to deal with that. I thought it was going to be a lot quicker. A little longer to get back. It’s definitely been frustrating, but I’m happy to hopefully have the opportunity to come back pretty soon.”

The Twins’ playoff odds had dropped to just 4% entering Saturday, making Ryan’s potential return a critical factor in their slim chances. Shelton noted the team didn’t have a predetermined number of rehab starts for Ryan, preferring to assess his progress step by step.

In other lineup news, Shelton moved rookie Kaelen Culpepper up to the second spot in the batting order for the first time in his career. Culpepper, who entered Saturday with a .301 average and a 128 OPS+, had primarily hit eighth or ninth since his call-up. “It’s one of those things that if you continue to play well, you’re going to get different opportunities,” Shelton said. “This seemed like the opportunity to be able to do that.”

Sunday’s series finale against the White Sox will feature Bailey Ober (7-4, 4.37 ERA) for the Twins, opposed by Sean Burke (8-6, 3.20 ERA). The game was moved to a 5:20 p.m. start and will be televised on Peacock.