Djokovic had already booked his place in the semi-finals by winning Group B while Gasquet could not progress irrespective of the result of the match.
But the Frenchman produced a valiant display, including taking a first set from Djokovic since 2007, before ultimately not quite having enough to secure just his second win over the Serb.
It looked as though Djokovic would steamroll his way through the match after breaking his opponent in the opening game but, to his credit, Gasquet fought back to force a first set tie-break.
Although Gasquet eventually lost the breaker, he continued matching his superior-ranked rival blow for blow in the second set and capitalised on some wayward Djokvoic shots to break before serving out the set at the first opportunity.
But ultimately Djokvoic’s experience told as he raced into a 3-0 lead in the decider and never looked back as he dispatched of Gasquet to maintain his perfect record at the Tour Finals and earn his 70th win of the year.
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