Despite being well-acquainted outside of the ring, Browne and Fury have talked about facing each other in the past and Hatton believes a clash is inevitable providing that they both keep winning.
Browne, 20-0 (18 KOs), faces Ukraine’s unbeaten Andriy Rudenko in Wolverhampton on Friday night with the WBA International and WBC EPBC crowns on the line.
And a victory should put the hammer-fisted Aussie in touching distance of a showdown with either Bermane Stiverne or Ruslan Chagaev.
“We’re pushing Lucas towards a world title fight now and if he could beat either Chagaev or Stiverne, then a defence against Fury would make a lot of sense,” Ricky said.
“Lucas is ranked ahead of Tyson by the WBC so will probably get a shot first, but if Tyson gets there before him then great because he’s already said he’d defend against Lucas.
“At this stage, Lucas’s goal isn’t to fight Tyson and Tyson’s goal isn’t to fight Lucas. They’re goal is to become world champions and they’re both very close to that.
“Lucas and Tyson are very similar in many ways. They’re both fearless and they don’t care who they fight. Lucas has been asking to fight Tyson for 12 or 18 months and, when the time is right, I’m sure Tyson would oblige.
“It’s not a case of two fighters avoiding each other, it’s a case of them both eyeing world titles and if they’re paths cross, so be it.
“For me it would be very difficult to be in the corner with Lucas against a Mancunian heavyweight, but it’d be a great clash of styles and it’d be a great fight.”
Despite world titles and a potential clash with Fury being on the cards, Hatton says Lucas cannot afford to get distracted from his task on Friday night.
Rudenko was previously in the frame for a European title fight with Dereck Chisora and he’s amassed an impressive record of 24 wins with 16 KOs.
“It’s a tough fight. Rudenko is a good boxer, he’s got a good record and he a decent knockout percentage so he could make it very difficult for Lucas,” Ricky said.
“Lucas is at a stage where there’s no easy fights for him. He can’t overlook Rudenko and I’m sure he won’t. I’m expecting another exciting performance from Lucas.”
Lucas Browne v Andriy Rudenko is the chief supporting contest to Frankie Gavin’s European welterweight title clash with Leonard Bungu. The show is being televised live and exclusively by BoxNation (Sky 437/490HD and Virgin 546).