amp hiss impact on speakers


Hello,

As is the norm, my amplifier creates a light hiss in both speakers. I do not notice this until I put my head up to the speaker. It's non-existent while playing music... My interest is in the impact on the speakers, longterm. Does endless hiss (24x7) wear on the tweeter? 

Much appreciated,
listening99
@millercarbon
Room correction or anything else you mentioned does nothing to get rid of the hiss from the speakers.  What will a sub do to get rid of the hiss when it’s coming from the tweeters?  Is the person running tube electronics, if so, that is probably the cause.  
The amp is solid state. With the pre-amp off, I still hear the light hiss. So, the solution is to NOT run the amp the whole time? I keep hearing of people leaving things on "all the time." Is this a mistake, in this instance?