Z-Fighting in waterlogged blocks

In waterlogged blocks (in this example, stone stairs), the water texture is too close to the block texture. When the player is at some distance away, this causes z-fighting.

The image 2018-03-22_00.51.33-zoomed.png shows the issue and texture_closeness.png proves that the issue is caused because the water texture and block texture are too close to be rendered properly from far away.