The Rangers and Islanders are among the most aggressive teams in pursuit of Jets defenseman Jacob Trouba, The Post has learned, with the Devils also in the chase.

Trouba, the 25-year-old impending restricted free agent for whom the Jets are soliciting offers, would slide into the right side of the first pair for either club. But his acquisition would come at a steep cost, both in terms of personnel going the other way in a trade package and the long-term contract Trouba would command.

Winnipeg, according to several sources, has yet to give permission to inquiring clubs to speak with Trouba’s agent, Kurt Overhardt, about a contract. One would figure seven years at up to $7.5 million per season for the Michigan native — who recorded 50 points (8-42) last season, 13th most among defensemen. His 42 assists tied for ninth among blue-liners.

There are up to a dozen teams in the chase for Trouba, a mobile, 6-foot-3, 220-pound puck mover, transporter and power-play guy. The Jets, who are facing a serious cap crunch, are believed to be looking for a first-rounder and a pair of legitimate prospects or young NHLers in return.