Council Tax Benefit entitlement

Hi there, I found this para:
'"Your housing benefit and council tax benefit is calculated taking into account all the members of the family, regardless of their immigration status. If one or more of your family members is a person subject to immigration control (PSIC) and is here with a condition that s/he has no recourse to public funds, your claim for HB or CTB could affect her/his right to stay. This is because her/his presence in the household will increase the amount of HB and CTB payable. This problem does not arise, however, if you are already getting income support or income-based JSA as you will be getting maximum HB and CTB and there is therefore no question of additional public funds being paid out because the PSIC members of the family are now included in your claim.â€