From a google search:
"When it comes to two stroke oil, there are different formulations depending on the kind of engine in which it is used. For example, two stroke oil designed for use in outboard engines (often called outboard oil), is formulated to operate with water present. In contrast, two stroke oil designed for use in a standard lawnmower will not be formulated in this manner. It?s important to double check the formulation of two stroke oil before you put it in the engine. While it might not be so dangerous for oil in a lawnmower to contain an additive allowing it to function with the presence of water, if oil bereft of this additive was used in an outboard engine, it could cause serious problems. "
So I'm guessing that it'll work fine.