Dust on my P&S sensor?

I have a Panasonic Lumix FX30—last I had it out I noticed it has dust on the sensor. I clean my D70’s sensor all the time, but I didn’t realize this was also a problem for P&S cameras. (Which of course, have smaller sensors (so dust is huger) and non-removable lenses (so dust can’t just be cleaned off.

Any tips?