Oil Seep

[DJN]

 Did anyone have a  slightly blowing gasket like this; on
the left side crankcase ?
Have to change the oil soon, so thinking if it's time to deal with
 this ,so far, minor  issue.

[Robell]

I think I'd give the whole area a good degrease, wash n dry.
Then take it for a run, might give a better idea exactly where it's coming from

[WaffleHouse]

That is very surprising.  Are you the original owner?  How many miles are on it?
Suzukis don't leak oil. :)

[DJN]

It's done 14K miles. 
  Besides this isn't a leak  but, seemingly, a thin mist of oil
that has built up over time.
  So its gonna get an oil change and a clean.

 On my Honda CBF500 there was a drain pipe from the crankcase breather. I never checked it , but maybe the INAZUMA has something similar.?

[DJN]

The upshot was that I  drained at least 2.5L of oil from the sump. 
Overfilled