Crossword Genius

Almost deserved a fight (4,5)

Ross

I believe the answer is:

just about

Here is my best explanation:

'almost' is the definition.
(synonyms)

'deserved a fight' is the wordplay.
'deserved' becomes 'just' (I've seen this before).
'fight' becomes 'bout' (synonyms).
'just'+'a'+'bout'='JUST ABOUT'

This clue was last seen in The Times