The 'Angels' singer, 45, has a well-publicised rivalry with Gallagher , 47, which dates back to the mid-nineties.
Williams admitted back in October he hoped to battle it out with the Oasis frontman in a bout similar to that of Youtube stars KSI and Logan Paul .
He told GQ at the time: "Id love it. But Id want it to be a professional fight. Ive seen how much KSI and Logan Paul made from theirs and I think we could trounce that.
"But, yeah, I think last time in the noughties Liam wanted to go down to an abandoned railway track or something. I dont want to do that. Its got to be f****** whistles and bells if it happens."
Now it seems the potential plans have gone a step further, after Williams revealed on the Jonathan Ross show that he has made contact with Eddie Hearn over staging a bout with Gallagher.
He claims that Hearn - who promoted the KSI vs Logan Paul fight - is up for it, although Gallagher is yet to reply.
The pair were good friends at the height of Williams' fame with Take That in the nineties, before a bitter falling out.
Williams famously called out Gallagher while accepting an ward at the Brit Awards one year, taunting: "Come and have a go if you think you're hard enough."
He has since referred to Gallagher as a school bully in a recent interview with the Sun.
I admire [Gallagher]. He is the voice of a generation, the last of a dying breed, as pop stars are so boring these days, he said.
But I still want to fight him. He represents a school bully to me and I would like to take the bully down.
KSI and Logan Paul's fight drew much interest, although Hearn stated prior to their professional bout that the celebrity match would be a one-off.