In terms of actually invading the Soviet Union? Little to none. In what was probably the biggest blunder (other than maybe some things relating to how Dunkirk and The Blitz were handled) and simultaneously something very core to Hitler's philosophy was that Communism was almost if not worse than capitalism (National Socialism, or at least Hitler's brand of it wanted to be some middle ground where you're neither a mindless cog in the communist machine, nor a slave to the owners and wealth producers) and furthermore that much of Eastern Europe- especially Ukraine, Poland, that area- was Living Space for the German peoples.

Really the only way the Winter War could have influenced Hitler's actions was if the Union swept through the entirety of Scandanavia.

Now, the timing of Barbarossa would be another can of worms, one which I really can't speak to. Then again I don't think that even Hitler would be foolish enough to think that a war of Soviet aggression would reflect on how they behaved defensively.