Mahut's heavily bandaged left leg was clearly a hindrance and world number one Djokovic was in no mood to show any mercy, cantering home 6-0 6-1 6-1 in just an hour and 14 minutes.
Djokovic, the defending champion in Melbourne and also the title holder at Wimbledon and the US Open following a remarkable 2011, has not dropped a set in his three matches so far.
Indeed, he has conceded just 10 games in advancing to a fourth-round meeting with either Milos Raonic or Lleyton Hewitt.
It took Mahut, who famously lost 70-68 in the fifth set to John Isner at Wimbledon in 2010, until the eighth game to get on the scoreboard.
The Frenchman smiled in acknowledging the cheers of the crowd, but it did not spark an improvement in his fortunes as Djokovic continued to move him around, exposing his condition.
Mahut, 30 on Saturday, kept plugging away but Djokovic eased over the line to keep his challenge firmly on track.
"Credit to him, we saw some taping around his knee and I felt sorry for him," Djokovic said.
"Evidently he was not playing his best or moving too well but he did not want to retire from the match."
The Serbian has dropped just 10 games in advancing through to the fourth round.
Not that Djokovic was complaining.
With high temperatures set to return to Melbourne next week, the 24-year-old was delighted to have kept plenty in the tank.
He said: "The positive out of this first week is obviously my performance has been great.
"Also another advantage is that I haven't spent that much energy so I'm fresh going into the second week.
"Right now I just want to take one match at a time, focus on the next one, and use this physical freshness that I have."
Asked if there were any disadvantages to having such an easy run, he added: "I don't think so.
"I've had a lot of practice and I'm physically fit."