There will be an SEISS extension which will be available to those self-employed individuals who have previously been eligible and who continue to experience reduced demand due to COVID-19.

There will be two grants, one for the period starting November 2020 to the end of January 2021.  This will be for 20% of average monthly trading profits, capped at £1,875. The second grant will be for period starting February 2021 to the end of April 2021.  More information on this will be to follow when it becomes available.

https://www.gov.uk/government/publications/self-employment-income-support-scheme-grant-extension/self-employment-income-support-scheme-grant-extension