Sean Dyche is keen to add a further goalkeeper to his squad as he looks to give Tom Heaton as long as it takes to make a full recovery.
Heaton underwent successful surgery on Wednesday after dislocating a shoulder in last Sunday's win over Crystal Palace.
Former Manchester United, West Bromwich Albion and Preston keeper Anders Lindegaard is training with the Clarets.
And Burnley would be able to sign the Denmark international, 33, as a free agent if that's the route Dyche decides to go down.
“He's come in to spend a few days with us and enjoy what we do. We'll speak to him accordingly," confirmed the Burnley boss.
"Ideally, in the perfect world you want three, maybe a younger keeper under that as well. That's what we're looking to do."
Nick Pope made his Premier League debut against Crystal Palace
The Clarets curently have Nick Pope and Adam Legzdins as potential deputies for club captain Heaton, while Northern Ireland under-21 international Conor Mitchell is currently gaining further experience on loan at Chester FC.
Pope came off the bench as Heaton's replacement against Palace to see out a clean sheet in a 1-0 win and is in line to face Liverpool at Anfield on Saturday.
"He's been working with some top-class keepers," added Dyche. "Billy Mercer is doing a great job, and having had Robbo (Paul Robinson) here will rub off on him.
"He's been improving all the time. The main measure is when you play, you've still got to see improvement on a daily basis and I think we have seen that.
"He delivered a very, very good performance in a tough game, an awkard game for us.
"He's got a chance to continue and show what he can do. That's a great opportunity for him."
Dyche has not put a timescale on Heaton's absence, other than to say it will be for a longer period than just weeks, to allow the England international to come back fully fit.
He said: "I've always worked on the idea that players have to be right the first time. If you can you get them fit, no risks involved, they crack on without breaking down.
"That would be the first thought, get him as right as possible, back to where he was really.
"There will not be any thought about rushing people back because in the long run it just doesn't work.
"The early signs are very good, very happy with the surgery, and I'm due to speak to him this afternoon to make sure he's well in himself.
“You know there will be a slightly lesser period for an outfield player. For keepers, they are constantly landing on their shoulders, so common-sensically it's even more reason to make sure it's 100 per cent right.
"We all know the extent to which Tom's professionalism goes, and he's as good as it gets.
"As regards rehab, as long as the surgery heals properly, which we've got no reason to think it won't, he'll be on top of that, because he's ultra-professional."
Meanwhile, midfielder Jeff Hendrick is back in training following the thigh injury that has kept him out of the Clarets' last two games and could be in contention for the trip to Liverpool.