ESA and moving back with parents (quick question)

Quick question - I am on income based ESA (I'm 33) but am stuggling to afford living on my own and am going to move back in with my parents for a while. They are both retired and will not be supporting me financially.

Question is am I still eligible for the income related ESA or are the benefits agency going to try to take into account my parents income when I inform them of my change of address?

Thanks :)