Bayern Munich's Bastian Schweinsteiger celebrates with Holger Badstuber (R) after scoring a goal against FC Cologne during their German first division, Bundesliga soccer match in Munich February 27, 2015. [Photo/Agencies]

"It was a bit strange today because we started really well but the last 10 minutes of the first half we slowed down and conceded the equaliser at the worst possible time," Robben told reporters.

"I have to say that Manuel rescued the win for us. He was world class."

Ujah forced Neuer to make the save of the game when the Nigerian's point-blank volley was turned aside by the Germany international.

The keeper was on hand again to stop a shot from the resulting corner as Cologne pressed for the equaliser.

Bundesliga top scorer Robben then settled Bayern nerves, a cleverly-placed header at the far post in the 67th minute earning his 17th league goal of the season.

Robert Lewandowski made it 4-1 when he chested the ball over the line following another assist from the 31-year-old Robben.

Bayern have 58 points from 23 games while Wolfsburg are on 47. Borussia Moenchengladbach, in third place a further 10 points behind, host promoted Paderborn on Sunday.

Last season's runners-up Borussia Dortmund, eyeing a fourth straight win, take on fourth-placed Schalke 04 in the Ruhr Valley derby on Saturday.