Germany are guaranteed a play-off spot and are on the brink of automatic qualification for the 2014 FIFA World Cup after their 3-0 win away to Faroe Islands on Tuesday.
Mesut Ozil slotted from the penalty spot in between goals from Per Mertesacker and Thomas Muller as the Germans cruised to a simple win.
Germany were without Marco Reus, who was suffering with a stomach infection, and roped in Julian Draxler as his replacement.
The visitors started brightly with Sami Khedira firing a low drive just off target four minutes in before Suni Olsen directed Draxler's cross onto his own crossbar.
Manuel Neuer had to be alert at the other end to deal with a Justinussen attempt before Miroslav Klose was denied by the legs of the goalkeeper. The forward went even closer moments later when he hit the base of the post before the ball was scrambled away.
The breakthrough came from the resulting corner though as Jerome Boateng flicked the ball on to the near post where Mertesacker was waiting to stab home.
The Germans continued to press after the break and after numerous chances they finally got their second when Gregersen brought down Muller in the area and was sent off. Ozil took responsibility and calmly sent the goalkeeper the wrong way.
Muller then wrapped up the points late on when he tucked away Philipp Lahm's cutback. Germany remain five points ahead of Sweden with two games to go.
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