most likeley: yes. Unless the 250W is a total piece of junk, it should work fine. Check if it has rated output (in Amperes) for the +5, +3.3 and +12 V rails on the power supply. I'm not sure what the bare minimum is, but check AMD's website for what the Athlon/Duron chips require. For a Duron 1000, it's pretty low...