The top-ranked Djokovic had his service broken twice early on before recovering to seal a victory that took his record against Baghdatis to 6-0, and raised his 2011 record to 67-3.

He will play 32nd-ranked Kei Nishikori of Japan in Saturday’s semifinals.

Nishikori beat Mikhail Kukushkin of Kazakhstan, 6-4, 5-7, 6-4 in a match that featured 13 breaks of serve.

In other quarterfinals action, defending champion Roger Federer was playing Andy Roddick of the United States; and Stanislas Wawrinka of Switzerland faced Florian Mayer of Germany.