Djokovic, a three-time champion at Wimbledon, is ranked fourth in the world
Novak Djokovic beat Vasek Pospisil to reach the third round at Eastbourne.
In his first competitive match on grass this year, the Serb, who received a bye in round one, registered a 6-4 6-3 win.
It was Djokovic’s first match since his defeat in the French Open quarter-finals earlier in the month as he continues his preparations for Wimbledon, which starts on 3 July.
He will face either Donald Young or his fellow American Jarden Donaldson in the third round.
The match was scheduled for Tuesday but only nine minutes of play was possible on Centre Court before rain led to play being cancelled for the day.
Djokovic, playing in his first pre-Wimbledon grass-court tournament for seven years, said prior to the match that this year had been his toughest in tennis.
Although he was not as his best against Pospisil, the first seed found his rhythm as the match progressed, with his service game looking strong.
He struggled for direction with his backhand but controlled play across the court, particularly through his powerful forehand.
Pospisil played aggressively but failed to build on Djokovic’s second serve, eventually throwing his racquet away in annoyance as he failed to break Djokovic, who went on to serve out the match.
The 12-time Grand Slam champion has now won 25 of his 32 matches this year.
“Don’t underestimate, this is a beautiful Centre Court and I enjoyed every minute of it,” Djokovic told Eurosport.
“I will keep going. Wimbledon is just around the corner but all my focus is now on this week”.