The Spanish international had a strong season, with the Blues scoring seven goals and providing three assists.
He played a key role in the Blues' triumphs in the Conference League and the Club World Cup, as well as their return to the Champions League.
Cucurella set for new contract
Cucurella's current contract runs until 2028, but Chelsea are keen to secure his services for a longer period.
Al-Nassr of Saudi Arabia expressed interest in him this summer, but the London club considers him a vital player and has no intention of letting him go.
According to Fabrizio Romano, via Sportal, The Blues have now agreed to extend his deal beyond 2028, with both parties agreeing on the contract.
Meanwhile, with Chelsea set to begin the new season with Crystal Palace clash, head coach Enzo Maresca has praised young Brazilian talent Estevão Willian with a note of caution.