The Serbian youngster travelled to Germany earlier this week and has now completed his move from Partizan Belgrade, signing a four-year deal
Last year's Champions League finalists were keen to add to their ranks after Jakub Blaszczykowski was ruled out for the remainder of the season due to a knee injury and they have now found their man in 21-year-old Jojic.
The attacking midfielder has signed a four-and-a-half-year deal with the Bundesliga giants.
"We're very happy with the signing of Milos Jojic. He is a player who is very versatile in midfield and who has a lot of potential. He completes our squad," sporting director Michael Zorc commented on the move.
Jojic came through the ranks of the Partizan youth academy and made his official first team debut in 2012-13 after a previous loan spell with Teleoptik.
He had since developed into a key player at the Belgrade outfit and his continued good form this season earned him a switch to Signal Iduna Park.
Jojic has been capped at senior level for Serbia, scoring on his international debut against Japan in October 2013.