The Scotsman, who has been competing for six straight weeks, can seal his place at the O2 Arena in the UK capital just by reaching the quarter-finals of the tournament in France.
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This afternoon, Murray raced to a 2-0 lead in the opening set by grabbing the first break of serve, which was all that was needed for him to scoop a one-set lead within 30 minutes.
Murray continued dominating the contest by going a break up instantly in the second set and doubled his efforts to take a 4-1 lead, but Benneteau battled to a break of his own after the British number one saved an initial three break points.
Despite the brief wobble, Murray was able to see out the set for victory.