If you are entitled to income-based ESA, or an income-based 'topup' of your contributary benefit, you might get a bit more money and would also be entitled to things such as free prescriptions.
ESA Premiums The application for this is purely looking at your financial situation, and that of any partner who lives with you, your health and ability will not be looked at again until your Support Group award is reassessed at some stage in the future.
How often will I be reviewed 24 hour work rule for ESA(IR) Asset rule for ESA(IR)