Cataluyna Radio says Roman Abramovich, the owner of Chelsea, is ready to pay Gavi's release clause to strengthen Thomas Tuchel's squad.
The English club hope to pay the €50 million clause to sign one of the most promising youngsters in world football.
Barça, however, are optimistic Gavi will sign a new contract at Camp Nou soon.
President Joan Laporta has made extending his deal a priority and wants him to sign until 2026 with a €1 billion release clause.
Gavi, 17, is now a first-choice for Barca and Spain, having started preseason with Barca B.
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!