The winger has spent time at numerous clubs around Europe including Real Madrid, Chelsea and PSV, but joined die Roten for a reported €27 million [£21.7m] in 2009.
Despite an alleged bust-up with team-mate Franck Ribery towards the end of last season, Robben insists that he would love to spend the rest of his playing time with the Bundesliga giants.
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"Obviously it depends on my personal health and my performances on the pitch but I hope it happens. I have a contract until 2015, so we will see.
"Munich is a great city. I have lived in many cities in Europe but I have never felt this comfortable and my wife and children love it as well."
When asked about Bayern's successful campaign so far, he explained the attributes which sees them top of the Bundesliga table.
"I think everyone is performing better, we are hungrier and more ambitious than before," the winger observed. "We are that extra bit better than last year, we have the winning mentality and we are more stable, which is the most important part."