However, Hamilton, speaking at a French Grand Prix press conference Friday, said he did not believe a strike would take place.
The French Grand Prix follows on the weekend immediately after the European round, leaving a week between Magny-Cours and Silverstone for testing.
McLaren will make its decision regarding the French Grand Prix after weighing up the performance and reliability of the new car in Jerez.
BBC: Pedro de la Rosa in the McLaren MP4-19B at Jerez in Spain
Hamilton was then demoted 10 places for the French Grand Prix after driving into the back of Raikkonen in the pit lane in the previous race in Canada.
Despite being 100 years since Renault won the first French Grand Prix at Le Mans, it was Italian team Ferrari celebrating with first and third on the podium.
BBC: SPORT | Motorsport | Formula One | Eighth French win for Schumacher
The team will decide whether to give the new MP4-19B its race debut at the French Grand Prix on 4 July after this week's test at Jerez in Spain.
BBC: Pedro de la Rosa in the McLaren MP4-19B at Jerez in Spain
The French Grand Prix, which has been the subject of much speculation about its future, will take place on 28 June but there is still no place for the US Grand Prix.
The result was a remarkable one for Brawn GP, who become the first debut team to finish one-two since 1954, when Juan Manuel Fangio led home Karl Kling for Mercedes in the French Grand Prix.
Honda first entered a works team in F1 in 1964 but withdrew at the end of the 1968 season following the death of Jo Schlesser, who had been driving a prototype vehicle at the French Grand Prix.
The German's victory in the French Grand Prix on Sunday was his second win in a row and the third in four races for Williams, and he is now just 11 points behind the championship leader, his brother Michael.
Finland's Kimi Raikkonen, in a McLaren, was seventh fastest and lines up next to Toyota's French veteran Olivier Panis, who is competing in his 150th Grand Prix.
BBC: SPORT | Motorsport | Formula One | Barrichello takes US pole
In late May, when the Grand Prix is in town, most of them leg it down the coast to their French Riviera weekend houses.
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