Kepa has not been a regular in the Chelsea set-up for the past two seasons, playing just 11 Premier League games in that time.
The 27-year-old has had to play second fiddle to Edouard Mendy despite his status as the world's most expensive goalkeeper.
Kepa joined Chelsea from Athletic Bilbao for £71.6m in the summer of 2018 and played 69 times in the top flight in his first two seasons.
"I'm excited, ambitious, eager to start, to enjoy myself and, above all, to play more. I want to be on the pitch more," the Spain international told Marca.
"The conversation with him [Tuchel] is easy; on a day-to-day basis, he is totally accessible to the players. Personally, I notice the affection and confidence he has in me.
"Obviously, I want to play more. It's true that he's giving another teammate [Mendy] a lift, and that's what I'm trying to change in my day-to-day life; I want to play, and that's what I'm training and preparing for.
"Right now, I'm a Chelsea player, but what I know is that I want to play more because, after a year or two where, when I have played, I have had a great return.
"I'm not desperate. At the end of the day, I'm at a very big club… I'll talk to the coach, and we'll decide, but with a clear message that I want to play more."
Kepa has won the UEFA Champions League, Europa League, UEFA Super Cup and FIFA Club World Cup in his time at Chelsea.