yes it will
as your CPU are pretty power consuming to begin with, i think the PSU wattage should be enough for the GPU, although, it wouldn't hurt to check...
Requirements
Minimum of a 300 Watt power supply.
An available 6-pin PCI-E power connector
Total Power Draw : 120 Watts
make sure your PSU had the PCI-E power connector though
since your GPU variant need one