The fight has come as a great surprise to the 20-year-old Fury, who assumed that McDermott had retired following several years away from the sport.
McDermott, 35, won the vacant English title back in March 2013 after defeating Matt Skelton via a unanimous points decision, but is yet to defend it.
The potential bout is pleasing news for Fury (16-0), who admits it is becoming increasingly difficult to find top level opponents.
“It’s great news that I could finally have an opponent. If I’m honest it’s a strange one because I thought John (McDermott) had retired. It should be a good fight and I’m ready to win the English title,” Fury told World Boxing News.
“I’m not really bothered who I fight, I just want to go against the best I can and be involved in some great match ups.”
It’s not yet known when or where the potential bout will take place, although Fury would love it to be part of cousin Tyson’s blockbuster clash against Wladimir Klitschko as he is already set to fight on the bill.
“I’ve only just found out myself about the McDermott clash, but I hope it will be on the undercard of Tyson’s fight. It’s a massive night for our family and his fight is one of the biggest in British heavyweight history, so I would love to be on that bill when Tyson makes history,” he added.
There were reports from earlier in the year that Fury was close to potential clashes with Lucas Browne and current WBC world heavyweight champion Deontay Wilder, but nothing materialised.
When asked about those fights, Fury said: “Yes, we definitely wanted those fights. With Wilder, he offered us a fight, but it was all too short notice. We went back to his team and were happy to fight, but we asked for an eight week camp. They never got back to us after that.
“With Browne, we offered him a fight and a lot of money to go with it, but he simply didn’t want to take it. It’s a similar story with a lot of other boxers. After all, who wants to fight a hungry, undefeated 20-year-old?”
Matt Horan is a staff writer for WBN. Follow Matt Horan on Twitter @mhoran123