Restriction on benefits when losing your job

If someone needs an SIA license for their work and is found guilty of an offense which means their SIA license is withdrawn and they then therefore lose their job as the license was a compulsory requirement for their position, are they eligible for benefits straight away and not penalised for losing their job? They did nothing wrong at work, it was a personal matter when off duty that led to the criminal conviction.

Can they claim JSA straight away?