The 24-year-old moved to Turf Moor from Charlton in the summer but knew he would play only a peripheral role with the first team as Tom Heaton is number one and veteran shot-stopper Paul Robinson is also on the books.
The Soham-born custodian made his debut in the EFL Cup defeat to Accrington Stanley in August and he was back between the posts as the Clarets and Black Cats drew a blank at the Stadium of Light on Saturday.
Fleetwood Town or Bristol City wait in round four should the Lancashire club manage to get past Davis Moyes' side in the replay and Pope revealed just what it meant to him to play in a competition that he has always admired.
"It means the world," he said. "Obviously when you’re growing up you watch these games. The FA Cup final is always the game that everybody watches every year. It’s a big finale at Wembley so to be involved in this competition is massive. It’s world renowned.
"I want an FA Cup run and to go all the way to the final."