The 31-year-old will have a British homecoming fight against Lo Greco in Liverpool this Saturday night, live on Sky Sports, and a victory could line up a big domestic battle with Brook.
Khan has joined Brook in Eddie Hearn’s promotional stable and believes the Matchroom Boxing boss can thrash out terms for a fight, with the Principality Stadium being mentioned as a potential venue.
“We’ve made it even more realistic to happen now, because I’m with Eddie Hearn and so is he,” he told ‘Amir Khan: Off Limits.’
“I think it can happen maybe end of the year. I would like to be in a stadium to be honest with you. I want the big show, definitely.”
Brook marked his comeback with a second-round stoppage of Sergey Rabchenko in March and Khan insists he rates the Sheffield man highly, despite their ongoing war of words.
“Kell’s a good fighter. I’m not going to say he’s a bad fighter, he’s a very good fighter, and he won a world title, so you have to respect that.
“I think the fight between me and him would be massive, and that’s what the Brits want to see.”
But Khan says he would not suffer the same fate as Brook if he shared the ring with Errol Spence Jr, who ripped his rival’s IBF welterweight title away with an 11th-round stoppage last May.
“Errol Spence is a very good fight for me. Stylistically, I’ve got a 100 per cent record against southpaws,” said Khan, a former world champion at super-lightweight.
“If I’m at the best of my condition, I honestly think I can [defeat Spence Jr], with the speed and movement and it being at 147lb where I feel comfortable at. I think that’s a good fight for me at that weight.”
Opponents are already queuing up for Khan, with Hearn holding talks with American promoters Top Rank about a future clash against Terence Crawford, while WBO champion Jeff Horn also wants to force his way into the British fighter’s plans.
Horn’s promoter Dean Lonergan told Sky Sports: “Top Rank seem to forget that Crawford has a big fight on June 9.
“[Top Rank boss] Bob Arum and his errant matchmakers are kidding themselves if they are looking past Jeff Horn, thinking Crawford is going to win that fight.
“Maybe the whole welterweight division should wait and see the outcome of Horn against Crawford as a superstar from Down Under is about to emerge. With Manny Pacquiao and Randall Bailey already on his resume, Terence Crawford is going to be a nice scalp to add to it.”