A fight between the pair has been high on many British boxing fans’ wish lists for several years.
Negotiations over the lucrative bout began in the autumn but have so far failed to bear fruit.
Talks collapsed due to the pair failing to reach an agreement over what weight the contest would take place at.
Brook was eager to have to have the bout be a light-middleweight affair, a weight Khan isn’t at all keen on fighting at.
Former IBF welterweight titleholder Brook returns to action later tonight against Australian David Zerafa, his first opponent since his May bout with Sergey Rabchenko.
Khan hasn’t been impressed by the level of competition Brook has been facing since his back-to-back losses to Gennady Golovkin and Errol Spence Jr and believes the Sheffield native’s choice of opponents proves he’s not serious about fighting him.
“He’s not really fighting anyone,” Khan said of Brook in an exclusive interview with Express Sport. “I really don’t really worry about him getting beat or not.
“I just think he’s fighting a nobody, really. Stop cheating the people in the UK saying that you want to fight me but you’re fighting all these bums knowing that the fight between us can’t happen (right now).
“Just up your game a little bit, Kell. Start showing the world that you are really interested in the fight.
“Fight some decent opponents instead of fighting these bums and let’s make it happen.”
Although Khan is eager to do battle with Brook and once and for all determine who’s the best British welterweight, he also has his sights on a historic bout with undisputed 147lbs king Terence Crawford.
And the opportunity became an all-time great could very well persuade Khan to postpone his proposed Battle of Britain with Brook.
“Anything can happen,” Khan added. “But at the end of the day, there’s other names that have been put out there for me.
“And when will I ever get the chance for a pound-for-pound title? When will I ever get the chance to for another world title?
“So if I’ve got that in one fight I can take and if I’ve got that in the fight I can have next in my career, then why not take that fight instead?
“I know the Brook fight is always going to be there, regardless.
“Even if it’s six months down the line. I can do both fights within the year.
“But at the end of the day, let’s see. It’s just great to be in a position where I’ve got some big fights out there for me.
“Those being Brook and being some other big names in America and going back to American and fighting out there – Vegas. I’m in a good position.”
Amir Khan is launching the ‘Ring the Changes’ initiative with online financial trading broker ThinkMarkets (www.thinkmarkets.com) to support underprivileged young people across the UK through fundraising, mentorship, education, and employment opportunities.