Lennon is a firm admirer of Given and would be keen on pursuing a deal if City were willing to let him leave on loan.
However, the Bhoys manager's main priority is to prepare his team for Thursday's Europa League clash with Utrecht.
"If it was a possibility then of course," Lennon said of Given. "He's one of the best keepers in the Premier League.
"We've been linked with a lot of players and there's been speculation on a lot of players.
"I don't really want to comment on players coming in or going out. I'm just concentrating on the game on Thursday."