The Spanish ace only needs to win the Australian Open to complete the full set of major titles and will aim to triumph in Melbourne in the opening weeks of the new year.
Alcaraz said: "I am a very ambitious person and I want to win the Australian Open to complete the career Grand Slam.
"I want 2025 to be even more exciting. Let’s say I want more. Australia is what I want to tattoo, even if my father doesn’t like it very much. Being champion there is my main goal for next season."
Alcaraz triumphed at both the French Open and Wimbledon this year and is looking forward to resting over Christmas following a rollercoaster 2024.
The four-time major winner said: "It was a year of ups and downs, but still positive. I still get emotional when I watch the videos of Roland Garros and Wimbledon.
"I [will] start a hard month of training, but spending Christmas and New Year at home is wonderful and gives me a break. Sometimes it’s difficult to find happiness, but I want people to have fun with me."
Alcaraz and Jannik Sinner swept 2024's Grand Slam titles and he has "respect" for his Italian rival, even though the pair "are not close friends".
The world number three said: "Once we are on tour, travelling, at tournaments, on site, we are with our teams and on our own, so we don't speak too much.
"But when we can, we talk a little bit besides tennis, about life. But not too much.
"It means we have a good relationship but we are not close friends.
"I think the respect we have puts us in a position that we have a really good relationship."