The number one seeded Medvedev had previously beaten two-time tournament winner Andy Murray 6-4, 6-2 and had a bye in the first round.
The next hurdle is the winner of the duel Jenson Brooksby against Roberto Bautista Agut.
In Indian Wells, California, Medvedev was eliminated early and lost the lead in the rankings to Djokovic after three weeks.
The Serb does not appear in the two Masters tournaments in the USA because he has not been vaccinated. The 20-time Grand Slam winner and six-time Miami champion does not return to the Tour until the European clay-court season.
Point with the handle! Bublik shows feat at the net against Ruud
