Asleep another way, if you don't mind (6)
I believe the answer is:
please
'if you don't mind' is the definition.
(I've seen this before)
'asleep another way' is the wordplay.
'another way' is an anagram indicator.
'asleep' with letters rearranged gives 'PLEASE'.
(Other definitions for please that I've seen before include "Asleep (anag)" , "Delight, gladden" , "suit" , "Polite addition to a request" , "(Word used in) asking or accepting politely" .)