Novak Djokovic kept his Wimbledon preparations on course by beating American Donald Young 6-2 7-6(9) on Thursday to reach the semi-finals of the Aegon International tournament at Eastbourne.

The three times Wimbledon champion survived two set points, one with Young serving at 5-4 and the other on his own serve in the tiebreak at 5-6, before clinching victory with his fourth match point after the American double-faulted.

The Serbian world number four will play Russian Daniil Medvedev, who beat American fourth seed Steve Johnson 6-3 2-6 6-3, on Friday for a place in the final of the south coast grass tournament.

Top seed Djokovic – the highest ranked male player to compete at Eastbourne since 1999 – was the first through to the semis after an hour and 35 minutes on court.

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“I enjoyed it, especially in the second set,” he said. “The first set went my way and I played well. I felt good on the court and had some break point opportunities early in the second set.

“He served for the set, had a set point and then had set point in the tie-break … Obviously, it could have gone easily his way. But it hasn’t, and I’m just glad the way I kind of held my composure, my nerves.

“This is the kind of match situation that I was looking forward to having, and I’m glad it happened today and I managed to overcome that.”

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Second seed Gael Monfils beat British wild card Cameron Norrie 6-3 6-2 to reach the quarter-finals and then secured his place in the last four with a 7-6(4) 6-0 victory over Australian Bernard Tomic.

That set up an all-French semi against seventh seed Richard Gasquet, who beat South African Kevin Anderson and then third seeded American John Isner in quick succession.