There were also wins for Thiemo de Bakker, Sam Querrey, Thomaz Bellucci and Michael Berrer.
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He also coaches a handful of male players including Jack Sock, Steven Johnson and Sam Querrey.
Sam Querrey lasted only 50 minutes in the fourth round and lost to Tomas Berdych, 6-1, 6-1.
Elsewhere, Sam Querrey survived an almighty scare to win his first match since becoming the U.S. No.1.
Unsurprisingly, his doubles match with Sam Querrey, scheduled to take place on Court 10, had been cancelled.
Murray's path through the draw could potentially take in Hajek, Gilles Simon, Sam Querrey, Fernando Verdasco, Nadal and Federer.
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The Swiss will play American 20th seed Sam Querrey in the last 16.
Serbia's Novak Djokovic, the top seed, was facing American Sam Querrey for a place in the quarterfinals later Thursday.
The 18-year-old Krajinovic, a wildcard entry, will play American third seed Sam Querrey for a place in the Belgrade final.
American Sam Querrey booked his place in the last four following a straight sets 6-3 7-5 win over Xavier Malisse.
Murray, who is going for a third successive Masters Series title, opens his campaign against American Sam Querrey on Wednesday.
The quarterfinal line-up is completed by fourth seed Tomas Berdych and Frenchman Richard Gasquet, who defeated Sam Querrey and Nicolas Almagro respectively.
His fellow American Sam Querrey lost to Australia's 19-year-old rising star Bernard Tomic , who will next face Ukrainian 13th seed Alexandr Dolgopolov.
Juan Monaco beat Sam Querrey 1-6 6-2 6-3 before Horacio Zeballos secured the trophy with a 6-4 6-7 7-5 defeat of Robby Ginepri.
In the accompanying men's tournament, James Blake saw off fellow American and fifth seed Sam Querrey with a 4-6 6-3 6-4 first-round win.
In the men's event, eighth-seeded Sam Querrey upset top seed and fellow American Andy Roddick 7-5 3-6 6-1 to book reach the semifinals.
As the fourth seed he receives a bye through to the second round, at which point he will meet Marcos Baghdatis or Sam Querrey.
Meanwhile, 25-year-old Sam Querrey, the second-highest-ranked American in men's tennis, has followed his parents to Las Vegas Nevada also has no income tax from Thousand Oaks, Calif.
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Sharapova won a tight first set and then hurried along in the second, leaving Djokovic and his opponent, Sam Querrey, to take the court after midnight.
No. 20 Sam Querrey advanced when fellow American Brian Baker retired in the second set with a right knee injury and next plays No. 15 Stanislas Wawrinka.
Fourth seed Tomas Berdych earned a meeting against Frenchman Richard Gasquet after a more comfortable victory -- winning 6-1, 6-1 as the Czech failed to allow Sam Querrey even one break point.
Top seed Novak Djokovic extended his unbeaten start to 2013, stretching his winning streak to 16 by defeating American Sam Querrey 6-0 7-6 (8-6) in a match which finished at 1:51 am local time.
Spain's David Ferrer , the No. 6 seed, had little trouble against Slovakia's Lukas Lacko, winning 6-3 6-4 6-1 but Serbia's Janko Tipsarevic was made to work harder in a 2-6 6-4 7-6 6-3 success over American Sam Querrey.
Cilic beat 2010 Queen's champion Sam Querrey of the U.S. 6-3 3-6 6-3 in Saturday's semifinals, while 2002 Wimbledon runner-up Nalbandian defeated young Bulgarian Grigor Dimitrov 6-4 6-4, as both matches were played in strong winds hitting the UK capital.
The Serbians' hopes of going through to the last four may rest on Viktor Troicki, who was beaten in five sets by American No. 1 Sam Querrey in the second singles rubber after being asked to replace the injured world No. 10 Janko Tipsarevic.
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