Van der Vaart will be spurred on by their group stage performance against Inter, and he feels they can rock San Siro again after narrowly losing out in Italy last time they played there.
"It's a very open game, but we beat Inter [at White Hart Lane] and we know we can beat Milan," van der Vaart told La Gazzetta dello Sport.
"Plus, playing at home in the second leg gives us a massive advantage. I think everyone is scared of coming to White Hart Lane."
The former Real Madrid man has settled magnificently in England, and believes the Premier League is the best of the European leagues.
"This championship is more varied compared to La Liga because there you only have Real Madrid and Barcelona," he said.
"Tottenham are a side who play good football and we have many great players.
"If we play together for a few years we can become a great team."