The 23-year old South Korea international has emerged as a target for a number of clubs this off-season with the Reds the latest to be heavily linked.
It is believed that Ki is high on the transfer hitlist of new Anfield boss Brendan Rodgers who wants to pair him in central midfield with captain Steven Gerrard.
However, Liverpool will face competition from Russian club Rubin Kazan, German pair Bayer Leverkusen and Werder Bremen, Spanish outfit Deportivo La Coruna and Premier League rivals QPR who are still very keen according to chairman Tony Fernandes.
"Ki is a very good player and we are very aware of him," he said.
"He is a player we will be watching and also monitoring closely."