There are still details to work out, however, and an official announcement isn't expected until Rangers general manager Jeff Gorton returns from scouting the World Championship in Denmark, Carpiniello adds.
Quinn will replace the recently fired Alain Vigneault, and is expected to sign a five-year contract worth approximately $12.5 million for his first NHL head coaching gig.
The 51-year-old had spent the last five seasons behind the bench as coach of the Terriers, accumulating a record of 105-67-51 in that span while winning the Hockey East and finishing as NCAA runners up in 2014-15.
The Rangers missed the playoffs for the first time since 2009-10 this season, and formally announced an impending rebuild over the winter. With a head coach reported to be in place, the organizational focus will shift to the draft, where New York owns three first-round picks.