Djokovic said: "This win means a lot. I didn't have a great week in Madrid. I need to be physically and mentally fit and I think I'm going in the right direction."
Djokovic's Madrid conqueror was Grigor Dimitrov, but there were no heroics from the young Bulgarian as he lost out 6-4 6-4 to ninth seed Richard Gasquet.
Nicolas Almagro lost 7-6 (7/2) 6-4 to Julien Benneteau, with Tommy Haas going down 6-4 6-3 to Mikhail Youzhny of Russia.
Caroline Wozniacki was beaten 2-6 6-4 7-6 (7/5) by Serbia's Bojana Jovanovski, eighth seed Petra Kvitova beat Sabine Lisicki 6-4 0-6 7-5, while Ana Ivanovic lost 6-3 2-6 6-2 to Urszula Radwanska.
American Sloane Stephens beat Flavia Pennetta, while there were also wins for Maria Kirilenko, Roberta Vinci and Dominika Cibulkova.
Haye title hopes hurt by injury
BOXING: David Haye's hopes of catapulting himself into world title contention later this year have been dented by a left hand injury that has forced the former WBA heavyweight champion to withdraw from next month's clash with Manuel Charr.
Haye was set to fight for the first time in nearly a year at the Manchester Arena on June 29.
It is not yet clear whether the bout will be re-arranged, with the 32-year-old confirming he will need at least four weeks' rest.
This setback derails his hopes of enticing either Vitali or Wladimir Klitschko, who hold all of the recognised world titles in the heavyweight division, into the ring in the near future.
Horner happy with tyre change
F1: Red Bull's Christian Horner feels Pirelli's decision to change their tyres "will be in the interests of good racing".
In the aftermath of the Spanish Grand Prix during which there were 79 pit stops, Pirelli are to alter the structure of their tyres from the June 9 race in Canada onwards.
Horner said the outcome of the change "is impossible to predict".
"It is all part of the challenge of Formula One," Horner admitted.
"It will be in the interests of good racing over the next few grands prix."