Kevin Reese has been in his new job as the Yankees senior director of player development since November and so far, one of his biggest challenges has been keeping perhaps the organization’s top prospect off the field.

Gleyber Torres is among a handful of young players already at the team’s complex in Tampa, ready to begin his attempt to win a starting infield job in The Bronx this season as he comes back from Tommy John surgery last year on his non-throwing elbow.

“He’s been begging to play baseball for three months now,” Reese said Monday. “He’s ready to go, but we want to give him a little bit at a time. He’s in good shape and we’re excited about him.”

Torres remains the Yankees’ most highly touted prospect after being limited to 55 games — and just 23 at Triple-A Scranton/Wilkes-Barre — before he injured his left elbow sliding into home plate.

On Monday, Baseball America ranked the 21-year-old as the sixth-best prospect in the game and the team had five others on its Top 100 list.

So while they’ve seen some young players come through the system and produce in the majors — like Aaron Judge, Gary Sanchez and Clint Frazier — the Yankees still seem in good shape for the future.

“The cupboard is loaded,” Reese said.

That figures to make his task easier, as Reese replaces Gary Denbo, who was widely credited for helping develop a once-lagging farm system. Denbo left the Yankees to join Derek Jeter with the Marlins, and Reese, a former Yankee who was the director of professional scouting, took his place.

And despite the recent turnover in the system — in addition to promotions, the Yankees also lost prospects including James Kaprielian, Jorge Mateo and Dustin Fowler in trades last season — they have lofty expectations for players such as outfielder Estevan Florial (ranked 38th by Baseball America), lefty Justus Sheffield (41), third baseman Miguel Andujar (59), right-handers Albert Abreu (77) and Chance Adams (81).

Where they wind up with the Yankees remains to be seen.

Frazier, who made his MLB debut last season, is blocked by a crowded outfield that includes Judge, Giancarlo Stanton, Brett Gardner, Aaron Hicks and Jacoby Ellsbury.

Torres and Andujar could compete for spots on the roster in spring training, while Sheffield, Abreu and Adams are all candidates to provide rotational depth at some point in 2018.

“The fact that we have these kinds of players makes it easier for me,” said the 39-year-old Reese, who played 12 games for the Yankees in 2005-06 before he retired as a player the following year after an eight-year career.

“Last season, we really started to see production from a lot of different guys that came through the system and had success,” Reese said. “Now we have to keep it going.”

Of course, there’s no guarantee they’ll all stay with the Yankees, as general manager Brian Cashman looks for upgrades in the rotation and infield.

“As long as they’re with us, we want to point to what those other guys have done,” Reese said. “They can see what’s possible.”