DETROIT — The Tigers may or may not be in the market for a shortstop (although they should be). They may be getting one.

Multiple reports late Tuesday had the Tigers as a part of a three-way trade with the Red Sox and White Sox, sending Avisail Garcia to Chicago and bringing shortstop Jose Iglesias back in return.

Veteran pitcher Jake Peavy headed from Chicago to Boston as the final piece of the puzzle. Jon Heyman of CBS Sports first reported it as done at 11:03 p.m.

“Every conversation you have with other organizations, I don’t care if you’re talking about a fringe utility guy or their star player, starts with (Nick) Castellanos and Garcia and (Bruce) Rondon and, if you want to include (Drew) Smyly because he’s young,” Tigers general manager Dave Dombrowski said. “Those are the first guys they always ask us. Then there’s another group of guys that they always ask us. But it’s a situation where we’re really not eager to trade those guys. If we were ever to trade those people, it would be a major, major deal and acquisition.”

Gordon Edes of ESPNBoston.com reported that there was also a pitcher from Detroit headed to Boston.

Iglesias is just 23, and under team control until the 2019 season. He’s hitting .330 with the Red Sox in his first full season as a starter.

The acquisition of Iglesias, who has played both third and short stop, would give the Tigers a contingency plan, should they lose their primary starter at either of those positions.

Third baseman Miguel Cabrera has been dealing with day-to-day injuries for the last few weeks, but more concerning is the possibility that All-Star shortstop Jhonny Peralta could be among the 20-odd players suspended later this week for association with the performance enhancing drug provider, Miami’s Biogenesis clinic.

“I cannot comment on that. I don’t have comment. ... That’s all Commissioner’s Office stuff. They’ll let us know when they want us to know,” Tigers president and general manager Dave Dombrowski said earlier Tuesday. “I wouldn’t really talk about any of that type of scenario at this time. It’s a Major League Baseball issue. Until we’re in a position to discuss it, we’ll wait and we’ll see.”

The internal options the Tigers had to fill in for Peralta are not strong, even though Dombrowski tried to put on a good face at Tuesday’s press conference to announce Monday’s trade acquisition, reliever Jose Veras.

“We have depth in the middle infield. Argenis Diaz is an outstanding defensive shortstop. He can really pick the ball at short. (Danny) Worth’s playing second base (at Toledo), (but) we know he can play shortstop. (Ramon) Santiago can go over there and play. You’re not going to get the offense from any of them that you would get on a regular basis (from Peralta),” Dombrowski said.

“So, we have some depth in that regard. Can (Hernan) Perez go over there? That’s a good question that I don’t really know the answer to. He’s played primarily second base this year. He has been a shortstop in the past. We switched him over to second.

“Think he’s going to be an outstanding defensive second baseman, all-around second baseman. Is he a shortstop for the future? I don’t really know that answer. Could he be? Maybe.”