Sky's Froome aims to take his third Tour title this July 2 to 24 and following that, travel to Brazil to win the road race and time trial gold two weeks later for Great Britain. Minus the road race gold medal in London, Wiggins did the same in 2012.
"I think it's possible because of how close it is," Wiggins told the press at the Dubai Tour where he is racing this week with Team Wiggins.
"I think if he wins the Tour again, and then has the condition, then I don't see any reason why not. I said to everyone that was the big question point in London, was whether we could do that, with Tour de France tiredness or whatever."
Wiggins became the first Brit to win the Tour de France in 2012 when Sky team-mate Froome placed second. He flew the short 500km to London to compete in the Olympics six days afterwards. He helped Mark Cavendish lead the road team and then won the gold medal in the time trial four days later. Froome took the bronze medal.
Froome will have to overcome the mega-12-hour journey and three hours of jetlag. However, he has an extra week to adjust with the climb-heavy road race on August 6. The time trial falls four days later, August 10.
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"But if you finish [the Tour] well then there's every chance that you can do well at the Olympics afterwards," Wiggins added. "The winner of the Olympics will come from the Tour de France. I think it's doable."
Besides Froome, Tour favourites Colombian Nairo Quintana (Movistar Team), Spaniard Alberto Contador (Tinkoff) and Italian Fabio Aru (Astana) are aiming for the Rio road race. In November, Froome previewed the courses around the capital city to be prepared for this summer's goal.
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