The 19-year-old is one of the Eredivisie’s finest young players, and has been earning rave reviews for his performances in the Amsterdam side’s first-team over the course of the past year.
However there are rumours circulating that he has fallen out with members of the club’s backroom staff, leading to suggestions that he will be sold when the transfer window re-opens.
Liverpool were one of a few sides to look at the Danish winger last summer, and are believed to have maintained an interest in the £15m-rated teenager.
While there are a number of other teams being linked with him, it is thought that a switch to Anfield may appeal to Fischer – who would be able to link up with international team-mate and captain Daniel Agger.
Possible Champions League football may also be a major factor in the Reds’ pull.
Brendan Rodgers is known to be on the lookout for a new wide-man, but Yevhen Konoplyanka of Dnipro is said to be the top target.