Britton, along with Alan Tate and Garry Monk, is one of a select group of players to have represented Swansea in all four divisions. The midfielder also played in Swansea's last meeting with Bradford in League One back in 2007.
The 30-year-old said: "A few of us know what to expect because we have been there too, it is tough in those leagues when you are slogging it out on Tuesday nights in some pretty dreadful places. We know what it will be like, they will be fired up and any of the lads who don't know what's coming, we will let them know."
He went on: "Even though there are four divisions between us it doesn't always work out as you would expect.
"You only have to look at what Bradford have already achieved so far.
"Beating Arsenal was impressive enough, but to beat Villa, a Premier League side, over two legs was superb.
"There is no luck or fluke in anything they have done, they have got this far because they deserve to be there.
"We have the tag of favourites. We are a Premier League side playing a League Two club, but on the day anything can happen and you have to perform."
- Sports & Recreation