The Uruguay international joined Barca from Liverpool this summer, but has not yet featured for his new side due to a four-month worldwide ban for a biting incident at the 2014 World Cup.
Suarez will be available for Saturday's La Liga clash with Real Madrid, however, and he has revealed that it will be 'a dream' to finally represent the Catalan outfit.
"I'm fulfilling the dream of playing for the club I always wanted to play for," Suarez told TV3.
"If I had the opportunity to retire here at Barca, that would be the perfect career."
Suarez is expected to be on the bench this weekend rather than being thrust straight into the first XI.