Club Brugge have held talks over a deal Sky Sports News understands.
The 22-year-old has attracted interest from clubs from France and is keen to leave Liverpool ahead of the close of the European transfer window.
The side and Liverpool on the weekend have been talking together, however, are yet to hit a deal.
Despite having his heart set on a return to Rangers kent was keeping his options open.
Sky Sports News disclosed in March that Rangers were facing a struggle to signal the winger to a permanent deal after a loan spell at Ibrox.
Jurgen Klopp confirmed that it is the preference to market Sky along with Kent Sports News of Liverpool understands the Reds value him around #7m.
Kent created 27 league appearances last season, scoring six goals since Rangers finished in second position and providing four assists.
Club Brugge were keen to bring in Tottenham midfielder Victor Wanyama but the possible # 12m bargain for your Kenya international remains in the balance as the deadline of Monday .