Current WBC and former IBF light-welterweight champion Alexander, 23, (21-0 13KOs) takes on fellow American and WBO light-welterweight champion Timothy Bradley (26-0 11KOs) in an eagerly-awaited clash in Pontiac, Michigan on January 29.
Khan (24-1 17KOs) - fresh from victory over Marcos Maidana in Las Vegas in the defence of his WBA light-welterweight title - has been quick to voice his belief that he is the best in a highly competitive division.
Alexander clearly doesn't agree and disputes whether the Bolton superstar would want to fight either him or Bradley, with unbeaten Irishman Paul McCloskey being touted as the 24-year-old's next opponent.
"Khan is an OK fighter, but he's no big deal," said Alexander. "People are making a big hype about him but I don't know what all the hype is about.
"He has a little power behind him but people think he is more than what I think he is.
"The winner of Alexander v Bradley doesn't have to go after Amir Khan. The winner of this fight is going to be No 1 in the division. (Juan Manuel) Marquez is a bigger fight than Khan so it's about chasing him. Khan is not the cash cow at 140lbs.
"The question is, will Khan take the fight? That's the problem. I think he's being pampered. You need to ask Khan and his people."
Meanwhile, Bradley wants the trio to decide in the ring who the number one is by fighting each other in the coming months.
"Nobody knows who the number one is until we get into the ring. That's what makes it interesting," said Bradley.
"The winner of Bradley v Alexander will definitely have to fight Khan. If they don't do it, then the media should put pressure on them because I think that's the way it should go - we should all get a shot at each other.
"Styles make fights and on any given night you might be in there with the wrong style and get beat so we should do a round robin.
"I should get a shot at Amir; Devon should get a shot at Amir. He should get a shot at Maidana and I should get a shot at Maidana. It's like back in the old days with Sugar Ray Leonard, Tommy Hearns and Marvin Hagler - they all went at it a couple of times.
"Let's do that - the best fighting the best. That's what boxing needs to bring in back."
Khan (24-1 17KOs) - fresh from victory over Marcos Maidana in Las Vegas in the defence of his WBA light-welterweight title - has been quick to voice his belief that he is the best in a highly competitive division.
Alexander clearly doesn't agree and disputes whether the Bolton superstar would want to fight either him or Bradley, with unbeaten Irishman Paul McCloskey being touted as the 24-year-old's next opponent.
"Khan is an OK fighter, but he's no big deal," said Alexander. "People are making a big hype about him but I don't know what all the hype is about.
"He has a little power behind him but people think he is more than what I think he is.
"The winner of Alexander v Bradley doesn't have to go after Amir Khan. The winner of this fight is going to be No 1 in the division. (Juan Manuel) Marquez is a bigger fight than Khan so it's about chasing him. Khan is not the cash cow at 140lbs.
"The question is, will Khan take the fight? That's the problem. I think he's being pampered. You need to ask Khan and his people."
Meanwhile, Bradley wants the trio to decide in the ring who the number one is by fighting each other in the coming months.
"Nobody knows who the number one is until we get into the ring. That's what makes it interesting," said Bradley.
"The winner of Bradley v Alexander will definitely have to fight Khan. If they don't do it, then the media should put pressure on them because I think that's the way it should go - we should all get a shot at each other.
"Styles make fights and on any given night you might be in there with the wrong style and get beat so we should do a round robin.
"I should get a shot at Amir; Devon should get a shot at Amir. He should get a shot at Maidana and I should get a shot at Maidana. It's like back in the old days with Sugar Ray Leonard, Tommy Hearns and Marvin Hagler - they all went at it a couple of times.
"Let's do that - the best fighting the best. That's what boxing needs to bring in back."
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