The meeting will be the first between the two leaders since March.
Talks between the UK and Scottish governments are continuing in a bid to avoid a constitutional crisis over powers returning from the EU after Brexit. The SNP says plans to have control of 111 responsibilities in devolved areas handed to Westminster before being devolved represents a "power grab".
A senior UK Government source said: "Everyone is hoping for constructive talks."
The First Minister and Prime Minister may also discuss their plans to deal with growing concern over a culture of sexual harassment at both Holyrood and Westminster.