The 25-year-old's current contract with the Blaugrana lasts until June 2016 and he is keen to extend it.
"Paris Saint-Germain's project tempting? No, no! I have the best teammates in the world at Barcelona," he is quoted as saying by France Football. "We fight for trophies every season.
"Barcelona is a beautiful city and Barca are the club where I was raised. I can honestly not even imagine leaving Barcelona."
Messi has won La Liga five times and the Champions League on three occasions with Barcelona.