As from today you can now make claims for New Style ESA online.
(Previously you had to ring for an application form and then take the completed form to the Jobcentre).

They have also added new eligibility conditions if you are affected by Covid-19
You can apply for new style ESA if you’re unable to claim Statutory Sick Pay and one of the following applies:
  • you or your child think you have coronavirus or you’re recovering from it
  • you or your child are self-isolating because you came into contact with someone who might have coronavirus
  • you have been told to stay at home for at least 12 weeks by the NHS because you’re at high risk of severe illness