Britton stepped into the breach at the Liberty Stadium after Paul Clement's sacking last week, something that Klopp can sympathise with, though he's not out to do the Swansea boss any favours on Tuesday.
'If he stays as manager then it's the same career I had years ago - that's how I became a manager at Mainz,' Klopp said.
'Maybe Swansea will take a chance on him. I wouldn't like to say I know him well because that would be a lie, but I know him as a player.
'I was a lifelong player at Mainz, like he was at Swansea. I think there's a chance he becomes manager, but we want to stop his dreams. Swansea are under pressure and we will be ready for them.'