Paul is set to face the MMA legend and former five-time UFC champion, once hailed the greatest welterweight of all-time, in a professional boxing bout on 28th August.
With a professional record of 3-0 against AnEson Gib, Nate Robinson and Ben Askren, the 24-year-old former Disney star is building up a list of famous but not so credible opponents, but a fight against Woodley looks to be his toughest yet.
It has long been rumoured and discussed that Jake could face Fury, with the pair trading harsh words for one another countless times over the past year.
With Fury holding a big profile in the UK after his appearance on Love Island and a legitimate pro boxer himself at 5-0, the bout would certainly peak the interest of the casual boxing audience both have.
However, Fury, who fights this weekend against 2-0 Jordan Gant, believes that Paul would never face a boxer he has a chance of losing to.
"He is a cunning man," Fury told a press conference on Thursday.
"He has earned a lot of money and if there was any chance of Tyron Woodley beating Jake Paul that contract wouldn't have got signed.
"Why would Jake Paul put himself in a position where he is going to get knocked spark out? He is not going to fight anybody who will test him because he doesn't need to.
"He is making a fortune from YouTube. Why is he going to get his teeth knocked out for nothing?"
Woodley is set to make a career high pay day, and Fury insists this is the main reason Jake has been able to land big name opponents with no boxing background.
"These MMA guys like Woodley and his last opponent Ben Askren will fight him all day long. They earn £300,000 for MMA and can get three or four million for fighting him."
So, would Fury ever fight Jake if the opportunity arose?
"If it comes it comes because it is easy money. I am not going to focus on Jake Paul. Saturday night is where my mind is and I have a job to do."