The 22-year-old winger has also caught the attention of npower Championship side Cardiff.
Lennon revealed after Celtic's 0-0 draw against Augsburg he had seen the Cerezo Osaka star in action but that no deal was in place.
"He's a player we've been linked with, but there's nothing more on that just now," he told the Daily Express.
"I don't know him personally but I've seen him play. He's a creative type but there is nothing more in it just now.
"There will be a lot of players we're linked with but we've narrowed it down to a few."
Kim, who has scored twice in 13 international appearances, has targeted a move away from
"I want to play in the UK or
"I have no experience in
Portuguese striker Amido Balde checked into Celtic after penning a four-year deal then declared he hopes to emulate compatriot