My one classic does the same thing with the 13ow PSU. I found that placement/dressing of the power cord to the amp makes a difference - move it one way, silence. The other, his. Adding a ferrite bead it the end of the power cord where it enters the amp also helped to lower the hiss.
FWIW - my 2.2 has the same issue, though to a much lesser degree. I used to fret about it, now I just enjoy the amp.
Good luck.