TAMPA — Brian Cashman was in the midst of a press conference Monday afternoon when he peeked at his phone and joked that there were probably trade talks awaiting him.

Before the Yankees general manager was finished talking, though, news broke of the Athletics trading Matt Olson to the Braves, taking one of the top first-base candidates off the table.

The Yankees did make an offer for Olson, The Post’s Joel Sherman reported, but the Athletics chose the haul of prospects the Braves offered instead. Still, Cashman could address the position through free agency, whether by reeling in the big fish, Freddie Freeman — with competition from the Dodgers and others — or opting for a reunion with Anthony Rizzo.

“Maybe I can run into some more things that give us even more flexibility, more options and more chances,” Cashman said. “So I’m not closed out to pursuing options that might exist at first base. At the same time, we have some pretty good candidates in-house.”

In the absence of acquiring a first baseman, manager Aaron Boone said later on Monday that Luke Voit is his starter at the position — the same thing he said about Gio Urshela at shortstop Sunday afternoon, roughly 12 hours before Cashman traded him to the Twins in a blockbuster deal. Boone said that DJ LeMahieu will play “everywhere,” from first base to second and third to mix and match with Voit, Gleyber Torres and Josh Donaldson.

“We’ll see how it plays out,” Boone said after the Yankees’ first full-squad workout of spring training. “Hopefully that [flexibility] continues to exist, it means everyone is healthy and contributing. That will not only serve us well but serve those guys well. They’ll be able to protect each other, match up a little better all the time. Those things have a way of working themselves out as spring unfolds.

“DJ will kind of be everywhere and we have a lot of confidence in what Luke can do.”

Voit continued to battle knee injuries last season, which limited him to 68 games and led to the Yankees trading for Rizzo at the deadline. But he reported to camp looking “really good,” according to Cashman.

Still, the Yankees could look to address the position even after missing out on Olson, who was traded for four prospects — including the Braves’ Nos. 1, 2, 6 and 14 prospects, per MLB.com.

“Any area of weakness we feel might exist — I wouldn’t want to say the holes — we have people in place that provide a lot,” Cashman said. “But my job is to find potential things that are better. If those things do exist, is it a reality fit in terms of a financial structure or cost of acquisition via trade. That certainly narrows down the legitimate choices. So we’re going to continue to have a lot of dialogue. It’s been like drinking out of a fire hose since the lockout ended.”