Bleeding / Aliasing of Textures from Separate UV Isles

Ignas

I am getting aliasing between 2 circular shells, here is the model (in SP):


This is the UVs in SP:


The exported textures look like this:

Note the green has transferred over to the pink and vice versa, creating the aliasing effect you see in the first image.

You can manually fix this in Photoshop:


To get a result that looks like this (in Maya):

Is there anyway to achieve sharp edges such as the image above in SP without having to use external software such as Photoshop?

Thanks.