In fact, the Post claims Bylsma would climb to the top of the Rangers' list, if he becomes available.
However, a source close to the Penguins' organization told TFP on Saturday that a change behind their bench "is very unlikely."
If a change is made, the Rangers would also require the Penguins' permission to speak with Bylsma, and that is not a guarantee.
Aside from Bylsma, though, the Rangers are expected to speak with former Vancouver Canucks head coach Alain Vigneault and current Toronto Marlies (AHL) coach Dallas Eakins very soon, if they haven't already.
Former Buffalo Sabres coach Lindy Ruff is also going to be interviews by the Rangers, and Mark Messier is also in the mix.
Phoenix coach Dave Tippett could become available, as well, if the Coyotes' ownership situation is not resolved. Tippett's preference is to re-sign with the Coyotes, but he won't do that unless the team's future is solidified. His contract with the team expires on June 30.
It's believed that if neither Bylsma nor Tippett are available, Vigneault could be the front runner for the Rangers' coaching vacancy, while Messier could be added to the staff as an associate coach.
Rangers GM Glen Sather wants to bring on a new bench boss before the June 30 NHL Draft.