The Danes were drawn against Sweden in the play-off draw held by UEFA on Sunday morning. They travel to Sweden for the first leg next month - dates are yet to be confirmed, but all matches will be between November 12-17.
It means Christian will come up against Zlatan Ibrahimovic for a place in next summer's finals in France.
Elsewhere, the Republic of Ireland face Bosnia & Herzegovina, Ukraine take on Slovenia and Norway play Hungary.
Ukraine v Slovenia
Sweden v Denmark
Bosnia and Herzegovina v Republic of Ireland
Norway v Hungary
First legs: 12/13/14 November
Second legs: 15/16/17 November