The currency hit a three-month low today, a day before her address, over worries that May will signal an economy-roiling clean break, known as "hard Brexit." But May rejects that label and its opposite, a compromise "soft Brexit."
Tomorrow, she'll aim to outline what could be called a Goldilocks Brexit, one that's just right.
"It is in the UK and EU's best interests to do the right deal, a deal that makes sense for us all," May spokeswoman Helen Bower said today.
The prime minister's 10 Downing St office says May will call for a "global Britain" that's open to the world "while also building a new and positive relationship with its European friends and neighbours".
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That summary did little to reassure the pound, which plunged below USD 1.20 in early trading today after newspapers suggested May would signal plans to take Britain out of the EU's single market and customs union.
Some British media say May will advocate leaving the EU's single market in goods and services in order to gain control over immigration, a key issue for many voters who backed Brexit. EU leaders say Britain can't stay in the single market without allowing free movement of people from the bloc.
The prospect of losing single-market access alarms many in Britain's huge financial services sector, which relies on an ability to do business seamlessly across the 28-nation bloc.
It also worries the many foreign firms who use London not only as a financial hub but as an entry point into the EU.
May's office declined to comment on currency fluctuations. The pound recovered to above USD 1.20 today after US President-elect Donald Trump's comment in an interview with The Times of London that a US-UK trade deal could be done "very quickly" once he takes office this week.
Under EU rules, Britain is barred from striking bilateral trade deals while it remains a member of the bloc, though it can hold preliminary talks.