Change of employer during the 60 days and dependent visa

[TheIzmy]

Hello everyone,
If I found a sponsored job during the 60 days after receiving the curtailment letter, will I need to issue new visas to my dependents as well (their visa are still valid for more couple of years) ?

I know that I don't need to change my dependents visas (as far it is valid) if I change my employer, but does this rule differ in case of receiving the curtailment letter?

Thank You