Changing Mechanim's Blendtree Interpolation

From Unity's Docs: http://docs.unity3d.com/Manual/class-BlendTree.html

The blending between animations is handled using linear interpolation (ie, the amount of each animation is an average of the separate animations weighted by the blending parameter).

My question is, is there a way to change this linear transition between animations in blendtrees to something like Ease-In/Out interpolation? I'm trying to achieve a smoother blend between single frame animations, see below.

Any help greatly appreciated!! :)