Ledley admits the prospect of playing in the Barclays Premier League is a big attraction for some players but insists his focus is on the Scottish champions.
He said: "It's just rumours at the moment. There has been nothing official.
"A lot of players want to play in the Premier League and that's why they have done pretty well with their signings so far.
"It does attract people but, at the moment, I'm with Celtic and I'm just concentrating on a big week ahead of me."
Ledley has been hampered by injury during pre-season but made his return to action in Saturday's friendly defeat to Borussia Monchengladbach.
And he now hopes to have some part to play in Wednesday's Champions League qualifier against Elfsborg at Celtic Park.
Ledley said: "My fitness is getting there. I played 30 minutes on Saturday, which was a big bonus for me.
"I'm obviously still not match fit because I've only played 30 minutes so far but hopefully I will be in the squad for Wednesday.
"It would be brilliant if I could get involved. I'm going to be a little bit rusty as I haven't played much, but if I am starting I'll give it my all."
