The Republic of Ireland international has been strongly linked with a move away from Celtic after failing to become a regular at Villa since joining the club from Manchester City in the summer.
“We are looking at areas where we can improve the squad but I wouldn’t say he (Ireland) is a candidate or anything like that,” said Lennon.
“There is a lot of names being thrown at us from clubs and agents and it would be unfair to talk about individuals.
“Defence? It is an area we are trying to improve on since the start of the season.
“We couldn’t do it in August and again and we will go back to that, hopefully, in January.”
