The Netherlands international returned to the club after two seasons in London with Tottenham, in a €13 million deal earlier this summer.
After spending three years with Rothosen between 2005-2008, some supporters have labelled the 29-year-old as the returning "prodigal son", a tag he is keen to shake off.
"I am not a saviour! I know that people expect many miracles from me, but I cannot make water run!" Van der Vaart jokingly enthused to Bild am Sonntag.
"[I have come] to play good football and to improve the quality of the team. Dortmund has led the way. They were away from the top four years [ago], and now? [They are] twice champions.
"It is very possible that Hamburg will be my last stop [before retirement]. Unless someone at the club tells me: "I'm sorry, Rafa. That's enough for you!"
Hamburg currently sit in 16th place in the Bundesliga, having lost both of their opening two games.