Rangers booted out a £10million bid from the Premier League new boys last month – just days after SunSport exclusively revealed Marco Bielsa’s interest.
Steven Gerrard immediately issued a hands-off warning before Kent insisted he was happy at Ibrox and in no rush to leave.
But the Athletic reports that the Whites are still ‘actively interested’ in the 23-year-old and could soon return to the table with an improved offer.
Rangers splashed out £7million to land the wide man from Liverpool last summer and would be guaranteed to at least double their money should they cash in.
Kent picked up August’s Player of the Month award last week and Gerrard insisted he wasn’t concerned about interest in his star man.
He said: “You have to be professional. Ryan should see that as a compliment that people are watching him.
“The Premier League is the best league in the world and if you are playing well and contributing to Rangers then it is only a matter of time before people are going to be watching his football.
“I have to praise Ryan for the way he went about things because there was a lot of noise, but not once did he take his eye off the ball or let his training drop.
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“He didn’t look like his head was turned, he remained professional and if anything he actually went up a level and used it as a compliment.
“He loves the club, is happy here and it would take something extremely special to drag him away from here— because that is not my decision — but that is Ryan because he is so happy here.
“He respects Rangers and what the fans have done for him. He is very aware of the opportunity this club has given him.”