"The prime minister will be setting out more detail of the government's position on Friday," he said.
Confirmation of the much-anticipated speech comes after May gathered around a dozen of her senior ministers for an "away day" at her country retreat in Chequers yesterday.
Their discussions lasted eight hours as they sought to thrash out their considerable differences on how closely aligned Britain should stay with the EU once it leaves the single market and customs union.
The full cabinet will discuss the plans at their regular weekly meeting on Tuesday.
The prime minister's speech is expected to take place somewhere in Britain, after May chose Florence, Italy for her last big Brexit address in September.
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