Mrsjones
He can but it won't be paid as it is considered to be an overlapping benefit with ESA(CB) so only the ESA will be paid,
You should put your information into one of the online benefit calculators to see whether you would be entitled to Income Related ESA in addition to your ESA(CB), if you are then this would enable the payment of the Carers Premium is he did claim CA, about £35 per week.
Gordon
Nothing on this board constitutes legal advice - always consult a professional about specific problems