Ms Sturgeon will say that the Prime Minister is a "real and present danger" to the health service whose proposals would make it harder to attract NHS staff from Europe.
She will warn that compared with EU membership his deal could cut Scotland's national income by £9 billion by the end of the next decade.
Scotland's future in Scotland's hands - not Boris Johnson's.
"Boris Johnson's extreme Brexit is the biggest threat to Scotland's NHS since it was founded just over 70 years ago.
"He is a real and present danger to our precious, publicly run health service.
"His Tory Brexit plan will make it harder to attract NHS staff from Europe.
"The economy will slow down, putting increased pressure on NHS budgets.
"Compared with EU membership, his deal could cut Scotland's national income by £9 billion by the end of the next decade.
"And if Boris Johnson takes Scotland and the UK out of the EU with no trade deal at all next year - which is looking increasingly likely - the cost could be £12.7 billion."
Ms Sturgeon will say that US drugs firms want "full market access" to the NHS in any Tory-Trump trade deal, raising the prices the health service has to pay.
She will say there has been a "sustained Tory assault" on Scotland's health service.
The First Minister will warn: "The NHS will never be safe in Boris Johnson's hands."