Sorry, I solved it by removing the pigment on top:
texture {
 slope{<0,0,1>}
  texture_map {
   [0 pigment {color rgb <1.00,1.00,1.00>}
    finish{
    phong 0.25
    phong_size 3
    }
   ]
   [1 pigment {color rgb <1.00,1.00,1.00>}
    finish{
    phong 0.25
    phong_size 100
    }
   ]
  }
}

This does excatly what I needed.

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