McEnroe's comments came after the Murray swept aside Russian Karen Khachanov 6-3, 6-4, 6-4 to book his place in the quarter-finals of the Roland Garros for the fourth consecutive time.
Should Murray improve on his 8-2 win record over Japan's Kei Nishikori in their scheduled quarter-final on Wednesday (7 June), only 2015 champion Stanislas Wawrinka or 2014 US Open victor Marin Cilic will stand between him and a place in the final.
It was also Murray's 650th match win of his career.
He will face Kei Nishikori after the eighth seed beat Fernando Verdasco to reach the last eight.
Murray was the stronger player throughout this one, and the struggles he suffered in the buildup to this Grand Slam showdown now feel a long time ago, as he notched a 6-3, 6-4, 6-4 win.
Marin Cilic completed the quarter-final line-up when South Africa's Kevin Anderson retired with a thigh injury trailing 6-3, 3-0.
Murray did not arrive in Paris at the height of his powers, dealing with a cold and some recent shaky results.
Nishikori surpassed Jiro Satoh for the most quarter-final appearances by a Japanese man, as he made the last eight for the second time in three years in Paris.
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Next up is 8th seed Kei Nishikori - certainly no slouch and able to cause Murray problems.
However, Martic, bidding to become only the 10th qualifier to make the last eight in Paris threw away a golden chance for victory.
"But I managed to push her back".
The 21-year-old looks set to be a star of the future but Murray proved too wily for him, with a couple of dropped service games the only blips in an otherwise excellent performance.
The third-seeded Wawrinka, the French Open champion in 2015, will face 15th-seeded Gael Monfils. Last year's finalist could bounce back immediately after suffering two breaks in the third set, reports Xinhua news agency. "They gave me the energy to fight".
Earlier on Monday, Romanian third seed Simona Halep sealed a blistering 6-1 6-1 win over Spain's Carla Suarez-Navarro to establish herself as one of the top contenders for the title.
Rafael Nadal and Novak Djokovic will look to set up a semi-final clash on Tuesday, with Nadal taking on Carreno Busta and Djokovic meeting Dominic Thiem. He's great player. Very smart tennis player.
The 290th-ranked Martic was leading 5-2 and 30-0 on Svitolina's serve in the deciding set.
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