User blog comment:Willbachbakal/(Champion Rework) Olaf, the Berserker/@comment-26044269-20150706105158/@comment-1330314-20150706121751

The Fury per second is so that he can start fights after roaming (namely, by letting him fire Qs first thing in combat), as well as poke with some degree of stability in lane. He'd generate about a maximum of 30 Fury per second in combat anyways (60 with his ult), and that's assuming maximum attack speed.