Will I burnout the motor of a computer fan with excess current?

I'm using an 80mm computer case fan with a 12V wall adapter. It's not going in a computer, it's for a project I'm working on. The fan is rated for 12V and 1.68W which means that it uses 140mA. Am I right that in using a wall adapter that's rated 12V and 500mA the fan will be ok? I should only worry about an excess of voltage correct?