Presumably you and your parents have a tenancy agreement so that when you are working you pay rent and when you are not housing benefit is paid to support you. Shelters have a good explanation regarding some of the problems regarding this
http://england.shelte...rom_a_family_member#1
If the house were passed to you then you would not need housing benefit when you were out of work as you would not still be paying rent to you parents - obviously you would be entitled to job seekers allowance etc but if you have no outgoings to put a roof over your head then you cannot claim for any.
Is your father not concerned about the rent in general rather than just the housing benefit or had you planned on still paying him a certain amount every month while you are working even after the deeds are passed to you?