The Dutch playmaker joined Spurs from Real Madrid in 2010, but there have been reports he could be sold during the summer transfer window.
He previously enjoyed three years at Hamburg between 2005 and 2008, scoring 29 goals in 74 appearances for the Bundesliga club.
Hamburg coach Thorsten Fink has admitted he would be happy to welcome Van der Vaart back to the club, but the 29-year-old is planning to stay at Spurs.
Incredible
"It's kind of incredible how my name has been mentioned across Europe in the last few days," Van der Vaart told BILD. "But I just want to say that this is just gossip talking.
"I am about to play for Tottenham Hotspur in the new season. I have had two good campaigns in England and I am enjoying it.
"It's amazing the people of Hamburg and Hamburger SV still hold me in such kind regard. I enjoy this, it gives me a big boost."
Hamburg's general manager Frank Arnesen also conceded that agreeing a deal to bring Van der Vaart back to the club is just a pipedream.
Arnesen said: "Rafael van der Vaart would be an ideal signing. Every manager would be glad to be able to rely on him.
"But a transfer of Rafael van der Vaart to Hamburg is impossible. We would require massive subsidies for that."
The adidas Nitrocharge is the most talked about new cleat in years. It was released on May 15 and will take your pitch by storm.
The Juventus jersey for the 2013/14 was released earlier this week. Be the first to wear the colors of the Old Lady.
The push for more color on their cleats, adidas has added the infrared colorway to the adiZero f50 Line.
One of the top soccer cleats for control the Nike CTR360 will not let you down on the field in tight spaces.
Chelsea won the Europa League on Wednesday. The Blues defeated Benfica 2-1 on injury time goal from Ivanovic.
The Liverpool 2013/14 soccer jersey is available for pre-order. The Reds are eager to compete for silver next season.
The new PUMA evoSPEED 1.2 FG. A great new soccer cleat with classic look and first time for PUMA to be on the cleat.
Ajax has released their away soccer jersey for the 2013/14 season. Get in the Gear.
Bayern Munich are kings of Germany and hope to be crowned kings of Europe at Wembley later this month!
Borussia Dortmund hears Wembley Calling and are headed to London for the Champions League final.