The eight vintage vehicles, including the team's famous restored double-decker car transporter which became a much-loved Corgi toy, will be a highlight of the Bonhams sale on December 1.
Bonhams were tight-lipped on individual prices for the vehicles, which date back to the 1950s and 1960s.
James Knight, Bonhams' car department director, said: "The collection as a whole is expected to comfortably exceed £5 million."
Ecurie Ecosse was set up as a co-operative syndicate, running mainly Jaguars prepared under mechanic Walter 'Wilkie' Wilkinson.
The team, which counted Sir Jackie Stewart, three-time Formula 1 world champion, and his brother Jimmy among its drivers, disbanded in 1972 but reformed in 1982.