My girlfriend is on PIP, esa payments might be stopped?

My girlfriend has just won her appeal for pip benefits after nearly 16 months of waiting and has been awarded the enhanced rate for both elements of pip, back dated and payable for 3 years. She has been receiving income related esa for nearly 4 years and is in the support group as well as receiving extra money for the disability income guarantee. Will she still get esa as well as pip? Really confused as the dwp have just randomly paid 1 weeks worth of esa with no explanation. We had been advised all the way that pip would be paid on top of esa but really worried that the dwp might now stop esa payments.