firstly what model is the PSU because that will determine the answer
if you mean a no name psu that cost almost nothing then it may do but i wouldnt trust it even if it did. however, if you mean one from a manufacturer that are know for good PSUs then i dont thing it should be in issue.
post the name and model PSU you are planning to use to give us a more clear indication
also post the rest of the spec, especially the CPU, graphics card(s) and any other power hungury device you may be using