The British rider finished third Saturday in Stage 20 of the tour, effectively winning the race since Sunday's ride into Paris is mostly a ceremonial affair.
Saturday's 78-mile trek through the Alps was considered the last true test for Froome, who is set to win the race after playing a leading role in helping countryman and teammate Bradley Wiggins win the race last year.
Nairo Quintana, a 23-year-old Colombian sensation who is already being pegged as a future Tour de France winner, solidified his hopes of a podium finish in Paris by winning Stage 20. It was Quintana's first ever stage win in a grand tour.
Quintana is poised to win the white jersey for the race's best young rider.
Heading into Paris, Froome has an overall lead of 5 minutes, 3 seconds over Quintana. Joaquin Rodriguez, who finished second Saturday, is 44 seconds behind Quintana.
Two-time race winner Alberto Contador, who was dropped by the leaders during Saturday's final climb, is in fourth place, 7:10 behind Froome.ALSO:
The Associated Press contributed to this report.