Nadal was spotted leaving hospital with his right ankle in a bandage following surgery on Monday.
Djokovic, 31, underwent elbow surgery in January and slipped to 22nd in the world after a depressing quarter-final exit at Roland Garros in June, which left him briefly threatening to skip Wimbledon. "This way I hope to be in full condition for next season".
Nadal has only been able to take up his hard won place at the Finals three times in the past seven years - and last season was far from fit as he pulled out after just one match.
He was challenging for the number one spot with Novak Djokovic, who will now finish regardless as the number one player'.
Dr Ruiz-Cotorro said of Nadal's recovery: "Now there is a process of progressive recovery ahead of us".
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"I think we will reach the new season if everything goes according to plan".
"Unfortunately I had the abdominal problem in Paris last week and I also have an issue in the ankle joint that has to be removed in the operating room today", the 17-times Grand Slam victor wrote on Twitter.
On his ankle problem, he said: "It is true that we knew about it for a long time and from time to time it bothered me".
"Unfortunately, I had abdominal problem in Paris last week and also required an operation on an ankle injury".
"Thanks to all for the support".
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Perkins is coming off of a 217-yard passing and 112-yard rushing performance in Virginia's win against North Carolina. White, the Super Bowl LI hero, has 55 receptions to go along with 459 yards and six touchdowns this year.
Djokovic, incidentally, is assured of his fifth number one record even before the ATP Finals begin as a result of Nadal's late withdrawal through injury.
Despite his successes, Nadal's season was marred by health woes.
There, the young Greek saved a match point against Kevin Anderson to become the youngest player with four straight Top 10 wins at Masters 1000 events, setting the final against world number 1 Rafael Nadal where he fought well in the second set before losing 6-2 7-6, missing a chance to add the fifth Top 10 win that week.
The 11-time French Open champion has qualified for the season-ending competition in 14 consecutive years since 2005 but has now withdrawn or retired in seven of those. No. 3 seed Zverev and No. 5 seed Cilic complete Group Guga Kuerten.
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