While they're a Premier League clubs, it wasn't so long ago several of the Swans players were playing in League One.
"For some of the lads who've been here a long time, the boot was on the other foot five or six years ago," Britton told the South Wales Echo.
"We were the team in League One or League Two trying to beat the teams in the higher divisions.
"And cup results this season have shown that anything can happen on the day, so there's no way we'll be complacent against Bradford.
"At the same time, a lot of the boys have played lower-league football so we'll know what to expect. Myself, Monks, Ash, Tatey - we've all been at that level and we're used to the football. It's tough.
"We'll know what to expect so, for the lads who might not be so sure of what to expect, we'll give them a reminder.
"It's really tough. No matter who you play in the Premier League or the Football League, every game is tough."