The Brazil forward, whose second season at the Nou Camp yielded 39 goals plus Champions League, La Liga and Copa del Rey trophies, insists the hunger for more titles has increased at the club.
With six club trophies up for grabs this season – the UEFA Super Cup, Spanish Super Cup, Club World Cup, Copa del Rey, Champions League and La Liga – and Neymar wants them all.
In an interview with SPORT, Neymar said: “The season has been wonderful, something incredible, but I always want more.
“I’m never satisfied, I maintain the same hunger to keep winning more leagues, Champions Leagues, Copas. The people can be calm because we want more.
“Treble is a beautiful word, but I have learned another that I like more – it’s sextuple.
“This has to be our objective, we have to prepare ourselves to be ready to conquer immediately.”
The 23-year-old also offered words of support for team-mate Lionel Messi, whose Argentina side lost a second consecutive major tournament final in the Copa America to Chile on Saturday.
“Everyone we were with during the whole year, and our fans, know that Leo is the best, he is No 1,” added Neymar.