Sir Alex Ferguson, who retired in May after 27 years at the helm of Manchester United FC, completes the three-man shortlist.
Champions League face-off
Heynckes presided over an unprecedented quadruple in charge of FC Bayern in 2012/13, defeating Klopp's Dortmund side 2-1 in the UEFA Champions League final at Wembley in May.
The now-retired 68-year-old also coaxed outstanding performances from Franck Ribery, who is in the running for the FIFA Ballon d'Or. Both prizes will be awarded in Zurich, Switzerland on 13 January 2014.