When am I supposed to apply?

Hi guys!

Currently Interning in Debt Syn in a German Bank in London after 6mth in Paris French Bank DCM and 6mth Amundi RE Paris.

Can't stand banking anymore, I'm targeting a permanent position in REPE or Infra Fund. I'm finishing my internship in July and the perfect plan would be to start in September (London). Coming from a Non Target School (French BS Top 8 Master Degree Finance) I'm not trying to integrate Blackstone or some giants with their classic analyst program.

Question is: is it worth applying right now for September or is it too early?

Thanks a lot for your returns guys!