https://www.gov.uk/guidance/coronavirus ... -residents
If your leave expires after 31 October 2020
You can submit an application form from within the UK where you would usually need to apply for a visa from your home country.
You’ll need to show your application is urgent, for example if you need to start a new job or course of study, please provide full details of this in a covering letter with your supporting documents.
You’ll need to pay the fees and meet all requirements of your visa as normal, except the need to submit the application in your home country.
This is being kept under review.