United boss Sir Alex Ferguson insists they haven't made an offer for Sneijder, but Robben says the Premiership giants should go for his Holland teammate.
The former Chelsea man told the Daily Star Sunday: "Sneijder for me is the best player in the world over the last 12 months. (Lionel) Messi is clearly a fantastic talent but it's almost too easy to say he is the best now.
"I personally think there is a very good chance he will join Man United.
"I am a big admirer of Paul Scholes, he is one of the best players of his generation and I honestly think Sneijder is the only player in the world capable of replacing him."