The 37 year-old, who was linked to a bout with the Briton in May before deciding on a battle with Maidana, is willing to give Khan his chance, although would expect another big performance from the ex-world champion before agreeing to a huge match-up.
“He (Amir Khan) knows that the fight between us can still happen,’ Mayweather said, according to The Daily Mail.
“He is an exciting young fighter – but I don’t just fight anybody – they have to prove themselves.
‘If you ask me will the fight happen – then I would say yes. I hope next year – but these fights are always about timing.”
Khan, 28, was quoted as stating that he would be up for a fight with former stablemate Manny Pacquiao if Mayweather wasn’t forthcoming in 2015 and even went so far as predicting that the Filipino would pose a greater threat.
“I saw the comments where he thought Manny would give him a tougher fight than me. I have no response to that. I will just remind him of those comments after I have beaten him,” added Mayweather.
Follow on Twitter @PhilDJay for tweets of upcoming news on WBN