The Knicks and Oklahoma City could be linked by more than Derek Fisher’s coaching future.

As Fisher mulls his next career step, the Thunder are looking at trading at least one of their late first-round picks, and Knicks president Phil Jackson said he’s looking to obtain a pick for either round of the NBA Draft. The Post reported at February’s trade deadline Oklahoma City made an offer for Iman Shumpert, but the Knicks passed. ESPN.com reported the Thunder offered their 29th pick.

That was before Jackson came aboard, and talks surely will be staged between the two clubs. The Nets are also trying to obtain a late first-round or second-round pick, according to general manager Billy King.

Oklahoma City has the 21st and 29th picks. The 29th pick is considered to have the least bang for the buck, as it comes with a two-year guarantee at a set rate, as opposed to a player picked a few slots later, in the second round, who doesn’t receive guaranteed money.

The Knicks don’t want to clog up their 2015 cap space unless they are sure they’ll draft a can’t-miss rotation player. The 29th pick is slated to make $959,000 in 2015-16, which is modest for a top rotation player. The 21st pick would make $1.2 million.

“We have to figure out a way to find value in the draft,’’ Oklahoma City general manager Sam Presti said Thursday on Oklahoma radio station 98.1 FM. “That could be moving off the picks entirely, combining them to move around, could be standing and selecting. I will say this draft is going to be pretty good. At the same time, when you draft a player, you also want to make sure there’s a relative pathway for them to have success and play.’’

The Knicks were set to trade Shumpert and Raymond Felton to the Clippers in a better offer than Oklahoma City’s, for Darren Collison and Matt Barnes, but the deal fell through when Shumpert injured his knee on the eve of the trade deadline. Collison will be a free agent.

Jackson is said to like Shumpert’s defensive prowess and height, but his offensive basketball IQ isn’t sky-high, and Shumpert is not a very good passer — two attributes needed in Jackson’s triangle offense.

The Knicks, a source confirmed, are expected to work out draft prospect P.J. Hairston, a 6-foot-5 shooting guard who was dismissed from North Carolina and played in the D-League last season. He’s projected in the 21-to-29 range.

Oklahoma City could also help the Knicks in free agency, as Thunder guards Thabo Sefolosha and Caron Butler are free agents. A lengthy defender, the 6-foot-7 Sefolosha had been the Thunder’s starting shooting guard for the last few years before losing his 3-point marksmanship and falling out of favor with coach Scott Brooks. The defensive specialist was benched for much of the playoffs.

During breakup day, Sefolosha said he had “no clue’’ if he’d be back. He’s known to love Fisher, who could be named the Knicks head coach as soon as next week. The Knicks have their $3.5 million mini-midlevel exception to spend, plus the veteran’s minimum. Their preference in free agency is at point guard (Steve Blake, Patty Mills), but Sefolosha and Butler could fit at the right price.