The 19-year-old has long been linked with a move to the Gunners and Wenger is desperate to bring in the forward in January.
Wenger face competition from the likes of Real Madrid, Bayern Munich and Manchester United in the race for the youngster.
Gotze is regarded as one of the most talented players in Europe and Dortmund have insisted that they are keen to keep the youngster at the club.
But Wenger is lining up a stunning move for Gotze, according to the Mirror.
