The Sheffield-based fighter took just three rounds to beat Hector Saldivia on Saturday night to take his current run to 29 fights unbeaten.
Brook has now turned his attention to Khan, and admits that there is something about the Bolton battler that he just doesn't like.
"In my mind I'm boxing for a world title but don't rule out Khan or [Ricky] Hatton, anything can happen in boxing," Brook told talkSPORT. "It will always be unfinished business [if I don't face Khan]. With me and him it's personal and I'm passionate about that fight. I'm passionate about knocking Amir Khan out.
"We were on Ringside the other night and there is something about him which really gets to me. People having been talking about me and him for years and I just want to retire him.
"He's distasteful with some of the things he says. I just want to take him out. I think it's going to be a blockbuster for the fans. He only fights in America but I'd love to fight in a big stadium over here. If we can make that happen I'm sure I can take him out."
The victory over Saldivia has made Brook the mandatory challenger for Devon Alexander's IBF welterweight title.