Mayweather extended his professional record to 46-0 with a majority decision win over Marcos Maidana in Las Vegas on Saturday.
That win saw him claim the unified WBC-WBA welterweight title, while on the undercard, Khan recorded an easy points win against Luis Collazo.
Khan handled the step up to welterweight impressively and has continued to voice his desire to fight Mayweather as a result.
The extremely confident Khan claimed that Mayweather "looks beatable" and that he is the only man in the world who can end his winning run.
Khan said: "Floyd looks beatable.
"He's getting a little older now and that's why a lot of people want the fight now because they want a young lion to come up and they want to see him get beat.
"I think the only person who has the chance to do that is me.
"I'm quicker than Floyd, we've proved now that we bring power to the table with the speed. We're getting better and I'm only going to improve myself.
"When it comes to boxing, no one can beat me in boxing.
"Floyd's a master class in boxing, but I've never lost a fight when it comes down to boxing, I've always taken people apart.
"A fight with Floyd would be a boxing match, it would be skills v skills and the youth would definitely take it."
Khan referred to his fight against Maidana in 2010 - a unanimous victory - and thinks that Mayweather's initial struggles against the same opponent gives him a chance.
"People know when I fought Maidana how convincing the win was and we put him down," he added.
"Maidana boxed a little and started catching Floyd. I really believe I can give him the most problems ever."