While nearly every injured Yankee seems to have gone through some kind of setback, one of the toughest comebacks is going well.

Didi Gregorius remains in Tampa, rehabbing from offseason Tommy John surgery, and Aaron Boone said the shortstop is “potentially a couple weeks away from starting a rehab assignment.”

The shortstop injured his elbow making a throw during the ALDS against the Red Sox in October and the team said at the time of the surgery that he could return around June. Boone didn’t rule that out before Friday’s 6-3 win over the Twins in The Bronx.

“He’s progressing really well,’’ Boone said. “So far, it’s been a best-case scenario as far as how it’s unfolded with where he’s at in his comeback.”

General manager Brian Cashman said the team doesn’t yet have a target date for his return.

Getting Gregorius back would not only deepen the Yankees’ lineup, but it would also allow Gleyber Torres to shift back to second base, though Torres has done well at short this season.

Torres has been forced to play short on a regular basis because the team’s original plan of getting by without Gregorius hasn’t worked out as they had hoped, with Troy Tulowitzki having suffered a setback with his calf injury while playing a rehab game in Tampa on Wednesday.
Boone called it a “mild strain” that would shut Tulowitzki down for a week.

DJ LeMahieu sat for a third straight game after he fouled a ball off his right knee Sunday. Boone said the plan is for LeMahieu to start Saturday.

The Yankees outfield could look very different soon. On Friday, Brett Gardner was flanked by Cameron Maybin in right and Mike Tauchman in left, but Aaron Hicks, out with a back injury that has sidelined him all season, played in another extended spring training game in Tampa on Friday and is expected to start a rehab stint with Single-A Tampa on Monday.

Boone added Hicks is “conceivably a week to 10 days out now… If everything goes well, he should be pretty close.”

Giancarlo Stanton (biceps and shoulder) was back with the team at the Stadium Friday after staying in Southern California to work on a rehab program after the Yankees left Anaheim. He could advance his rehab on Monday.

Clint Frazier (ankle) was eligible to come off the injured list Friday, but will instead play two rehab games with Double-A Trenton in Harrisburg over the weekend. He is then expected to be activated Monday.

Aaron Judge (oblique) still isn’t close. He has yet to begin baseball activities, although Boone said the right fielder is improving.

Luis Severino said he and the team are still investigating how he suffered a lat strain while rehabbing from rotator cuff inflammation suffered during spring training.

“It’s getting better, but we still want to know how it happened and what caused it because we don’t want it to happen again,’’ Severino said.

Severino said he’s felt improvement in the area, but he has yet to do anything baseball-related.

“Even with us playing well, I want to be there,’’ Severino said. “I should be out there pitching. It’s tough being out this long.’’

— Additional reporting by George A. King III