Monk says Swansea will not be taking their lowly opponents for granted.
"We won't allow any complacency and that message will come from me through to the players," Monk said.
"I've played at Tranmere and it's a tight, bobbly pitch and difficult conditions in which to play football.
"They'll be looking forward to playing against a Premier League side and they'll be up for it.
"But I take it very seriously and we'll have to use our experience because we've got players in the squad who have played in these types of games.
"We will have to make changes because we've had so many games, but hopefully we can use that experience to get us through to the next round."