The 17-year-old starlet has appeared 11 times in the Danish Superliga this season, having been primarily introduced from the bench.
Under contract at Aalborg until 2013, the talented teenager has attracted interest from a host of top European clubs, but Reds boss Kenny Dalglish is believed to be leading the race for his signature.
Andersen has represented Denmark at every youth level from Under-16 to Under-19, and is now making strides towards the senior team.
If Liverpool's reported interest is genuine, then Aalborg will be keen to quickly tie him to a new long-term deal.
The Premier League giants already have a full Danish international in their ranks at Anfield, with Daniel Agger having established himself as an important part of the Reds' back line.
Dalglish and Co. may turn to Agger to convince his fellow compatriot that his future would be best served on Merseyside.