The First Minister will make the announcement at a meeting in COP26’s Green Zone on Monday.
The money will come from the Scottish Government’s £6 million-a-year Climate Justice Fund, helping communities repair from and build resilience against climate-related events.
Ms Sturgeon is due to speak at a meeting of the Global Citizens Assembly on Monday.
The First Minister will say: “Through our work on climate justice, Scotland continues to proudly support nations which – despite having done the least to cause climate change – are already suffering its impact.
“We don’t have the resources of other western governments, but we can lead by example.
“And so I’m pleased to announce that not only are we doubling our climate justice fund to £24 million – we’re also entering into a partnership with the Climate Justice Resilience Fund to support communities and address loss and damage, supported by this £1 million investment.
“I hope this will galvanise other organisations to support the partnership – and show world leaders that where small nations lead they can follow, by making similarly ambitious commitments during COP26.”
Prime Minister Boris Johnson is also expected to urge countries to move from talk and debate to concerted real-world action at the opening ceremony of the world leaders summit.
He will pledge an extra £1 billion in climate finance to support developing countries by 2025 if the economy grows as forecast and the UK’s aid budget returns to the 0.7 per cent of GDP level.