And the Bolton fighter has responded by saying "let's get it on", leaving British fight fans with the prospect of a big-money fight to savour.
Brook took on one of the most daunting challenges available to a British fighter - a world title fight against an unbeaten American in his own country - and came out on top. He defeated Shawn Porter via a majority decision in California to take the IBF welterweight belt in his 33rd career fight without defeat.
Throughout his time as a professional Brook has called out Khan - a former Olympic and world champion - but the Lancastrian has snubbed him on account of his rival having not proven himself at the top level. Now, though, Brook is the man at the top of the tree when it comes to British welterweights and he hopes the time has come for him to get his man. Khan analysed Brook's win on television in the early hours and was quickly told to step forward and take on the new champion.
"The fact is, he is going to get it," Brook said. "I know he's back there in the studio watching; listen, you're getting it next boy. I am the champion of the world. The British public want to see it. He will probably start saying something else now, that I need to win another world title.
"But believe me, Queen Khan is getting it. He's been putting things on Twitter, putting 'best of luck', but I know he doesn't like me."
Khan - whose career has slowed down somewhat after his failure to land a stellar fight with Floyd Mayweather - returns to the ring in December, with Devon Alexander mooted as his next opponent.
Khan, though, now appears to be keen for a bout with the boxer who has long courted him. "A fight with Kell Brook will be massive in the UK and I am not saying no," Khan said.
"Kell thought I would say no to that fight but I am agreeing to it. I will take the fight with both hands. I am a young fighter and I want to give the British fans what they want and come on, let's get it on."