According to Daily Record, the striker has informed Hibs that he wants to join Steven Gerrard’s side.
Kamberi is a man in demand and he is wanted by the likes of Lech Poznan and Virtus Entella.
Rangers are prepared to sign the player on loan for the remainder of the season and Hibs want a loan with an option to buy for around £750,000 at the end of this season.
It will be interesting to see if Rangers can agree on a deal with Hibs before the window shuts.
They could do with some attacking depth and Kamberi should prove to be a good signing.