With influential striker Chloe Kelly departing to join Manchester City, Sørensen could fill the void left by the loss of the young Lionesses international.
Sorensen to join Everton
The BBC reported on Monday that the 22-year-old was close to signing a deal with Willie Kirk's Everton.
Sørensen would be the toffees' third signing of the summer so far, with fellow Scandinavian Ingrid Moe Wold having already joined as well as former Bristol City defender Poppy Pattinson.
She will have a big role to fill in Liverpool, replacing a 22-year-old Chloe Kelly who had scored nine goals in 12 WSL games before the season was halted due to COVID-19 and was the league's fourth-top scorer.
A strong career in Scandanavia
Sørensen has been highly rated for a number of years and despite only being 22, she was awarded her first professional contract back in 2014 and has spent time moving between Sweden and Denmark since then.
After featuring heavily in a Denmark side that went on to win the 2016 U19 European Championships, she was named in VAVEL UK's top 20 Under-20s for the year.
She departed Rosengard in 2014 for her first stint at Brøndby, where she scored 19 goals in her 57 appearances.
She then went back to Sweden for a single season with Linköpings in 2017/18, before a move back to Brøndby.
Sørensen won the Gjensidige Kvindeligaen, the Danish top flight, this year - finishing as top scorer, and was also named as the league's best player.
As well as a lengthy domestic career, Sørensen has also featured extensively for the Danish national team, picking up a silver medal at the 2017 European Championships in the Netherlands.