Wimbledon winner Murray dispatched French 11th seed Jo-Wilfried Tsonga 6-4, 6-1 while second seed Djokovic gave away a second-set point in a sporting gesture to Tommy Robredo during a 6-3, 7-5 triumph.
Britain's sixth-seeded Murray, who trails the Serb 8-11 in their all-time rivalry, was looking forward to a repeat match with Djokovic after not playing him since last July.
"We've played a lot and we always have long, tough matches. This will be a good test for me," Murray said.
Swiss fifth seed Roger Federer ousted French ninth seed Richard Gasquet 6-1, 6-2 in 49 minutes to book a quarter-final date with Japan's Kei Nishikori.
Federer was on fire against Gasquet, who set up two Federer match points with a backhand error and took the loss moments later as he could not reach a drop shot in the windy conditions.
"The wind was the same for both of us, but I've had a lot of experience playing in it," said Federer. "I made him work for his points.
"It was a great match for me and I'm very pleased," said Federer, who broke five times and committed only eight unforced errors.
Federer, who lost to Djokovic earlier this month in the Indian Wells final, won the Miami title in 2005 and 2006. His 79 career crowns include a record 17 Grand Slam titles.
Murray, who underwent back surgery six months ago, improved to 9-1 against Tsonga, advancing in 74 minutes.      

The Scotsman, who converted on eight of his 12 break chances, won on his second match point as the Frenchman hit the net with a return.
"It was a close match," Murray said. "I had lots of break points. Conditions were tricky with the wind. It was not pretty tennis but we tried the best we could."


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