do i need to send dla anything when filling ESA50?

Hi

i've just sent off my ESA50 with medical support documents enclosed.
I've also sent copies of the medical support documents to my income support claim office and the dwp address which notified me that 'my benefits are changing'.

Do i need to contact DLA at all concerning transfer into ESA ? Do you advise that i send them copies of the medical support documents i sent with the ESA50 or is the DLA basically out of the picture and a separate entity in regard to moving onto ESA (other than the effect on DLA answering various questions can have.)

thanks for your guidance

twzz