Celtic are linked with a move for the Danish right-back.
The Scottish Sun reported this week that Celtic may be keen on the Denmark international, who's set to leave FC Copenhagen.
Lennon's need for a new right-back has increased in recent days after Mikael Lustig left the Hoops.
According to The Daily Mail, the 28-year-old would set Celtic back around £2.5 million, but the Northern Irish manager refused to be drawn on the speculation.
When asked about him, Lennon told The Daily Mail: "I'm not going to talk about any players until they are sitting next to me. It's just speculation."
It's interesting that the Celtic manager didn't flat-out deny interest in Ankersen which, at this time of the year, qualifies as being 'coy' over the transfer.
Ankersen, who has been capped 22 times by Denmark, is the real deal and what a fine Lustig replacement he may be.
He might not win as many trophies as his Swedish counterpart - who won 16 major titles during a seven-year stint with Celtic - but going forward, Lennon needs stability after losing such a big player and perhaps he has found one, even if he isn't admitting as much.
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