The Spain international has entered the final two years of his deal, with his contract set to expire in the summer of 2026.
Barcelona sporting director Deco recently expressed his confidence that the club would agree a new deal with the 21-year-old.
The Catalan giants are said to view Pedri as 'one of the cornerstones' of the club along with Gavi, Lamine Yamal and Pau Cubarsi.
Pedri gives update on Barcelona contract talks
Pedri has now commented on the ongoing contract negotiations, insisting that everything is moving in the right direction for him to sign a new deal.
Speaking to Sport, Pedri said: "I'm very calm, my agents are handling it, I haven't had any news, everything is going well."
Pedri has registered 23 goals and 15 assists in 160 competitive appearances since joining Barcelona from Las Palmas in September 2019.
The midfielder has also enjoyed regular playing time under Hansi Flick this season, having featured in all 17 of the club's competitive matches, contributing with three goals and one assist.
Pedri reveals secret behind injury-free season
Pedri has struggled with injuries over the last few years, but he has managed to stay fit for the first three months of the 2024-25 campaign.
The Spaniard has commented on how he has managed to stay fit for a consistent period, revealing that he has found "solutions" to stop a reoccurrence of his previous fitness issues.
"There are many games and you have to find your body," Pedri said. "You have to look for solutions until you find the key. I have found what suits me well and I have the continuity that I have achieved.
"I have found something that suits me physically. I have started enjoying football again."
After featuring in Spain's clash with Switzerland, Pedri will return to Barcelona ahead of Saturday's away league meeting with Celta Vigo.
The Blaugrana are sitting top of the Spanish top flight, with a six-point lead over second-placed Real Madrid, who have a game in hand over their Clasico rivals.