Marquez has a contract with Honda for 2024 but speculation about him cutting ties with the Japanese manufacturer for next year have been rife amid its ongoing struggles in MotoGP this season.
During the San Marino Grand Prix weekend, Marquez became embroiled in rumours that he will join Gresini Ducati next season.
He repeatedly stated when asked that he has a contract for 2024, while both Honda and Gresini played down these rumours.
Marquez got his first taste of the 2024 Honda prototype on Monday at the post-race Misano test, and was 17th at the end of session one and a second off the pace.
Speaking to the media after Monday’s first session, Marquez said of the bike: “Yeah, of course it’s quite different riding style. But in the end the problems are more or less the same. So, we need to work more.”