DETROIT — Nick Swisher isn’t back in The Bronx yet, but if he passes a physical he will join Triple-A Scranton/Wilkes-Barre this week and see time as designated hitter, in the outfield and at first base.

“He will take a physical and report to Scranton next week,’’ general manager Brian Cashman said of the 35-year-old Swisher, who was released by the Braves late in spring training.

Swisher worked out at the Yankees’ minor league complex Saturday. If his knees pass the physical and he holds up, Swisher could offer first base protection for Mark Teixeira.

Swisher helped the Yankees win the 2009 World Series, but after leaving the club following the 2012 season to sign a four-year, $56 million deal with the Indians, injuries have led to a major downturn. He was dealt to the Braves last season.

“The fact they let me come out here and work is great,” Swisher told the Associated Press on Saturday. “It keeps me in the game, keeps me going strong, and I appreciate that. This place is like family.”

Manager Joe Girardi recalled Swisher being a very good player for the Yankees, but is aware of his physical issues.

“I think he has to make sure he is right and he gets going before you start talking,” Girardi said. “When he was here he was extremely productive and loved playing here.”

Starlin Castro’s seventh-inning single to right during the Yankees’ 8-4 win over the Tigers was the 1,000th career hit for the barely 26-year-old.

“I came to New York to win championships,’’ was Castro’s reaction.

He went 2-for-4 and is 9-for-20 (.450) with two homers and a team-leading eight RBIs in five games.