Murray was defeated by Tomas Martin Etcheverry at the Swiss Indoors ATP 500 event in Basel on Wednesday.
He once again slammed his racket into the ground during the 6-7 6-3 6-2 loss. Murray has failed to win back-to-back matches since August and the 36-year-old hopes to turn his fortunes around against a familiar foe.
Djokovic lost in the final to Holger Rune last year and the pair are in the same side of the draw. The Serb could also face a rematch with American sensation Ben Shelton as they could meet in the third round if he overcomes either Martin Etcheverry or Miomir Kevmanovic.