Scott Parker’s team have beaten Derby County in this season’s Carabao Cup after entering at the second-round stage, while Cardiff have seen off Swindon and Cheltenham to set up the trip to Lancashire.
“I am really excited to go to a Premier League team in a competition where we have produced really good performances,” Barry-Murphy added.
“It’s a good test for our players. Burnley have a super-talented squad and to test ourselves in that stadium against them will be very good for us.”
Cardiff have fitness concerns over Ronan Kpakio, who came off during the Bradford loss with a foot problem, and Dylan Lawlor, who missed the Bantams’ visit with a groin injury.
“We have a group we really believe in,” Barry-Murphy said. “We will see who is OK and then pick a team.”