"Lawrence has some people with him and the group has bought control of the company, and I suppose Toto could jump in there as chief executive. It might work."
Stroll initially acquired a 16.7% stake in Aston Martin for £182million, as well as implementing a £318 million cash injection through a new rights issue, for a total package of £500 million.
The link between Stroll and Wolff gained further traction last week when it was reported the latter missed a crucial meeting during which it was decided that F1's radical rules revamp for next season would be pushed back a year to 2022.
It is understood Wolff was conducting meetings with Stroll in Australia at the time, with the Austrian's position in the meeting taken up by technical director James Allison.
Should Wolff leave Mercedes, it would draw into question Lewis Hamilton's future with the team as the six-time champion has long stated it would likely depend on the plans of his team boss.
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