Froome's Giro win in May made him the first man to hold all three Grand Tours at once since Hinault himself in 1983.
Team Sky said: 'We are confident that Chris will be riding the Tour as we know he has done nothing wrong, ' while Froome's wife Michelle told Reuters: 'Chris will ride the Tour'. "It begins next Saturday so we shall explain our position during the coming week", Lappartient said.
Team Sky declined to comment on the story when asked by The Telegraph, although they did express confidence that the four-time champion would be on the start line.
Five-time Tour victor Bernard Hinault, who worked for the Tour organisation for many years, last month called for the peloton to strike if the British rider lines up at the start of this year's event next Saturday.
Salbutamol, an asthma drug, is banned in the cycling world and other sports by the World Anti-doping Agency.
The Team Sky rider has been engulfed by a doping scandal for several months, and ASO have moved to block Froome from attempting to claim his fourth yellow jersey in a row.More news: Russian Federation eliminate Spain from World Cup in last-16 penalty shootout
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The decision is meant to protect the image of the race because the British rider is at the centre of an ongoing doping case.
Team Sky have appealed to the French Olympic Committee, with a legal team led by top doping lawyer Mike Morgan expected to attend the hearing in Paris on Tuesday.
The 33-year-old has always denied wrongdoing.
A blood doping scandal broke before the 2006 Tour with Spain's Operation Puerto, which led to ASO shutting the door on the Astana team, but they were cleared at the last minute by the Swiss-based Court of Arbitration for Sport.
He said: 'It's awful that the sporting authorities have not managed to solve this problem before the start of the world's biggest race. "I won't say anything more but of course, rules have to be modified", he said.