Quite possibly papers are with judge (1,4,3)
I believe the answer is:
i dare say
'quite possibly' is the definition.
('I dare say' is said before making a prediction)
'papers are with judge' is the wordplay.
'papers' becomes 'ID' (short for identification papers).
'with' means one lot of letters go next to another.
'judge' becomes 'say' (I've seen this before).
'id'+'are'+'say'='I DARE SAY'
(Other definitions for i dare say that I've seen before include "It is probable" , "Quite possibly" , "Maybe" , "It's very likely!" , "one might suppose" .)