The Uruguayan striker has been in sensational form since returning from suspension, which culminated with four goals in the Reds thumping on Norwich in midweek.
With 13 goals in nine games, Suarez’s value will only have increased from the summer when Arsenal had a bid of around £40million rejected.
Real Madrid, Barcelona and Chelsea have joined the race for the 26 year old who initially stated he wanted out of Merseyside and England.
Rodgers now believes his striker is happy and that contract talks may begin over extending his time at Anfield in the new year.
“There never was that (gentleman’s agreement) before, and there never was this summer,” Rodgers said
“We want him to stay and, with his contract running for two and a half years, I am sure there will be something between now and the end of the season to keep him here.
“The most important thing is that the player is happy. I didn’t sit in on the conversations last summer but, as I understand it, there is no agreement of any kind.
“I think all parties are fairly comfortable at the moment. We made our feelings known in the summer and it is where it is.
“The only concentration now for us and Luis is to keep him playing at that level, and the rest takes care of itself.”