yes, i stream with an old Phenom II 955, it is also dependent on your upstream bandwidth and the program you use to stream.
Open broadcaster is a brilliant free streaming program that is light weight with excellent quality.
Never use xsplit, it is a bloated pile of crap, you can stream with less overhead and better quality with open broadcaster and add overlays like in the payed for version of xsplit for free.
just make sure you set your video bitrate to less than your upstream bandwidth for smooth streaming.
you also will need to set the right resolution for your upstream bandwidth as well.