The Hamburg winger is a £13 million target for Reds boss Roy Hodgson.
The Germans are desperate to bring in funds, having paid FC Twente £8m for Elia in 2009.
Elia now hopes to link up with Holland team-mate Kuyt at Anfield.
But Hodgson faces stiff competition from former England boss Steve McClaren, now in Germany.
But the 23-year-old has, according to German press, already agreed personal terms with Liverpool.