Horn fights Ukrainian Victor Plotnykov tonight (AEST) in Invercargill, New Zealand - in what will be the biggest fight of his career.
But the 27-year-old has one eye on the future, challenging Mundine to a fight under 'The Man's' conditions.
"I sparred Mundine last year and I got him with some good punches," Horn said.
"Since then I’ve beaten three guys who are ranked in the world top 15 and I know I have the workrate and the power to beat Mundine.
"He’s bigger than me and he’s very cagey but I’d gladly fight him at his weight of 70kg so he would have everything in his favour — height, weight and experience.
"He would be a big name win for me and I just hope he takes the fight."
Duco Events director Dean Lonergan believes a fight between the two could become a superfight like Mundine v Green.
The event management company have been dangling the million-dollar carrot in front of Mundine for a while now and will do everything in their power to ensure the fight goes ahead.
"Jeff is now the No. 10 contender for Floyd Mayweather’s world welterweight title," Lonergan said.
"With another two or three wins under his belt he will likely be No. 2 or No. 3 in the world and I think Mundine still has a year left in him at the top.
"Mundine says he wants to fight the best and he’s just suffered the collapse of a big fight with the American Austin Trout so what would be better than now fighting a highly rated Aussie on Mundine’s terms.”
Mundine has yet to comment on Horn's challenge.