New covid guidance to apply within UK

Hello experts,
My husband is on tier 2 dependent visa with his visa expiring in 2022. His company is willing to sponsor him a tier 2 visa and his job is in shortage of occupation.
We saw the new guidance on:
https://www.gov.uk/guidance/coronavirus ... -residents

It says:
You can also apply from the UK if your leave expires after 31 July 2020 but you urgently need to make a new application, for example to start a new job or course of study, and cannot leave the UK to make an application from overseas. This includes applications to switch into a different work route or to change jobs in the same route using a new Certificate of Sponsorship (CoS).

Does my husband's situation fall under this condition?
Can he apply from UK itself now?

Thanks
Varsha