you should list all of your other components... so that someone can do a power calculation for you.
most mid to high end laptops fall into the 450-550w range so although you dont have much overhead (keep in mind the previous values are for a 100% full system load which isnt going to happen outside of benchmarking) the 585w of your current psu is likely enough as long as it provides the right cables and is in good working order.
if you want a new psu anyways... i'd suggest something from seasonic.