Almost, nearly (4)
I believe the answer is:
nigh
I believe this clue is a double definition.
'almost' is the first definition.
(nigh can mean almost or nearly)
'nearly' is the second definition.
(I know that nearly can be written as nigh)
(Other definitions for nigh that I've seen before include "Nearby" , "See 23" , "All but one" , "Almost (arch.)" , "Impending" .)