The sixth-ranked Djokovic, seeking his 100th singles title on tour, has an 0-2 record in the European clay-court season after making quick exits at Monte Carlo and Madrid.
The Geneva lineup includes No. 4-ranked Taylor Fritz and Casper Ruud, the defending champion who has won three of the last four editions at the lakeside park club.
Djokovic could again celebrate his birthday in Geneva as he turns 38 on May 22.
Last year he was eliminated in the Geneva semifinals by Tomas Machac, then advanced through four rounds in Paris. He withdrew citing a knee injury ahead of meeting Ruud in the quarterfinals and lost his No. 1 ranking. (AP) UNG