The former Cardiff and Wigan man is available on a free transfer.
The Rovers boss is quoted by the Lancashire Telegraph as stating:
"Kim Bo is a quality player and somebody we saw play ever so well for Wigan last season.
“In the situation that we’re in, when quality players like him become available on a free transfer then we’ve certainly to got to put our hat in the ring.
“But obviously we know that there are certainly going to be other clubs interested in him and we’ve just got to make sure that we’re fighting to try to get his signature.
“It’s ongoing but he’s a fantastic player and he would be somebody that we would love to have in our ranks.”
Kim, who spent the second part of last season at Wigan Athletic, is available on a free transfer after rejecting a new deal at the now relegated club to play in League One.
He has previously played for Cardiff City in both The Championship and Premier League after heading to England from Cerezo Osaka in 2012. He currently has 32 caps for the Jeonbuk Warriors and has scored three times for his nation.
The same report however makes it clear that signing Kim will not be straight forward. Whilst the transfer embargo placed on Blackburn should not impact the deal, as Kim is a free agent, he may not be able to obtain a new work permit.
South Korea are outside the top 50 in FIFA’s World Rankings, which means he does not meet the new eligibility criteria.
However, given his history of playing in the UK, Blackburn will remain confident they can convince the authorities to make an exception and hopefully have Kim in the team for the new campaign.