With the win, American stays alive for a spot in the Patriot League Tournament with one game remaining. American (4-11-1, 3-5-0 PL) finished the contest outshot 13-8 but controlled play with a 7-6 edge in corner kicks.
Dimitrijevic put American up 1-0 in the third minute off a free kick from Oscar McConnell. After the kick, the ball was left loose and muffed before trickling into the right side of goal.
The Leopards tied the game seconds into the start of the second half. Evan Vare found the back of the net after a give and go by Ryan Goncalves.
The eager Eagles broke the tie in the 69th minute on Djurhuus' goal from Matt Gillis.
American will host Army West Point next Saturday at 2 p.m.
For the latest on American Men's Soccer, stay tuned to AUEagles.com and follow the team on Twitter @AU_MSoccer.
Tickets for all AU home men's soccer matches are available at Reeves Field. General admission seats are $8 for adults and $5 for children. AU students are admitted free with a valid student ID.