Starting in sixth-place on the grid at Suzuka, Albon's Red Bull team-mate Max Verstappen crashed out after a collision with Ferrari driver Charles Leclerc and that forced him to retire later in the race.
Albon drove an excellent race, though, and managed to pick up a career-best P4 finish and stake his claim to partner Verstappen at the Milton Keynes-based squad for next season.
"After getting my best result of the season in Japan last week, I've got good confidence and direction heading to Mexico," Albon said. "Japan felt like my best weekend with the team and we're gelling more and more so I look forward to carrying that momentum into Mexico.
"Historically, it's been a good track for Red Bull with pole position and a win there last year so obviously that's positive. Like Suzuka, it will be another new track for me but this one looks a little more forgiving! I'm also really excited to drive in the infield section where all the fans are as I've heard that's pretty special.
"Mexico and the US will be the last back-to-back races of the season and I can't wait to get out there and check out both tracks."