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Rudi Garcia's side sit second in Serie A with just one defeat in seven games, having suffered a controversial 3-2 reverse to champions and current leaders Juventus earlier this month.
Roma started their Group E campaign with an impressive 5-1 win over CSKA Moscow before claiming a deserved 1-1 draw at Manchester City.
That leaves them two points behind Bayern and Robben is anticipating a tough test at the Stadio Olimpico on Tuesday.
Article continues below"Roma are our toughest rivals at the moment," he said. "They're playing the best football in Italy at the present time."
Team-mate Thomas Muller scored the winner in Bayern's 1-0 triumph in Moscow last time out, with the hosts having put a heavy emphasis on frustrating the Bundesliga champions in that game.
"Especially as a forward, you relish playing a team who are unlikely to pull all 11 men back to their own penalty area," said Muller.
