The Uruguayan international has 18 months left on his current contract and there are reports that Barcelona are keen on replacing him with Inter Milan’s Argentine striker Lautaro Martinez.
Suarez has starred for Barcelona since arriving from Liverpool in the summer of 2014, winning four La Liga titles and one UEFA Champions League.
Although he missed the start of the season through injury, the former Ajax Amsterdam captain has contributed 10 goals to help Barcelona establish a two-point lead over Real Madrid at the top of the La Liga table.
Despite his advancing years, the 32-year-old still believes he still has unfinished business in Catalonia as he eyes moving from his current position of fourth in Barcelona’s all-time top scorers list to second place.
"I'm very happy at the club," he told Sport. "I have always given myself to the fullest. The statistics and the numbers back that up.
"I think I am up to the task and when it comes to [contract] talks, we will arrive at a good conclusion."
With Lionel Messi out of sight with 618 goals for Barcelona, Suarez, who has scored 190 goals for the club can still attain second place as only Laszlo Kubala on 194 and Cesar Rodriguez with 232 goals are ahead of him.
"I always said that personal challenges have to be left aside, but in this case, when there is so little to match or overcome a historic player like Kubala and get in there [the top three], you feel very proud," he continued.
"Second place is obviously a more difficult challenge, but that does not take it out of sight.
"You always try, but it will be done over time. First place is unattainable, but it is very exciting to be able to reach Cesar's numbers."