Team Sky claimed on Monday their computers had been hacked by critics convinced Froome is using performance-enhancing drugs.
Britain's Froome, 30, said he "understood" why there are doubts because of the "history of the sport".
Tuesday's stunning ride increased his overall lead to nearly three minutes.
The Press Association reports that Froome plans to be independently tested between the Tour's finish and the year's third Grand Tour, the Vuelta a Espana, which begins on 22 August, to try and determine what makes him such an exceptional athlete.
"I do understand where the questions are coming from, the history of the sport and the people before me who have won the Tour," said Froome.
"I am sympathetic, but at the same time there needs to be a certain level of respect also."
