I added hair and eyelashes textures to my character. They are PNG images and are partially transparent. I got white borders on the edges, but they appear only in Material view. If I switch to Rendered view, everything looks perfectly fine.
Here are screenshots of Material and Rendered views:

Question #1: Is there a way to remove those white borders in Material view? My settings for eyelashes are shown on the second screenshot. I already tried to use Alpha Clip option as it was suggested in similar topics, but it removes only part of the white border and part of it still stays.
Question #2: While it would be awesome to get rid of them, is it critical to remove those white borders at all since everything looks fine in Rendered view? When I eventually export this model to Unity, will it look like rendered version?
UPDATE: Looks like the problem was in partial transparency. When exported to Unity if I use "Transparent" rendering mode in material properties I get the same borders but I found the way to get rid of them. Solution in Unity: Use "Fade" option in rendering mode menu. This will remove the white borders and make both eyelashes and hair look normal.