King's contract at Blackburn expires at the end of the season and, as a result, QPR believe he could be available in a cut-price deal, which has sparked their interest.
Although R's chairman Tony Fernandes has stated that he won't be opening up his cheque-book today, this could be a deal which represents too much value to turn down.
King, who was at Manchester United as a youngster, has made 16 appearances for Blackburn this season and he has clearly impressed.
Impact for QPR?
The signing of King would likely be an investment in their future, rather than a player the R's immediately feel could go straight into the first-team.
King has had to play second fiddle to Jordan Rhodes and Rudy Gestede at Blackburn this campaign and it would be highly unlikely that he walks straight into a Premier League first-team.
The Norwegian international is 23-years-old now, but there is still a rawness in his play that needs to be refined.
Rapid and skilful, King has the potential to be a major threat to defences, but Harry Redknapp will need to develop him carefully if he is to get the best out of him.