Mathf.Approximately allowing too small values (Ruby's Adventure Unity tutorial)

     float vertical = Input.GetAxis("Vertical");
     float horizontal = Input.GetAxis("Horizontal");

     Vector2 move = new Vector2(horizontal, vertical);

     if (!Mathf.Approximately(move.x, 0.0f) || !Mathf.Approximately(move.y, 0.0f))
     {
         lookDirection.Set(move.x, move.y);
         lookDirection.Normalize();
     }

The if statement should prevent normalized lookDirection from becoming (0/0). My problem is that the normalized lookDirection often still ends up being (0/0) if move.x or move.y is small enough. I fixed it by doing the following change

 lookDirection.Set(move.x*20, move.y*20);

which works fine for the most part. What I wanted to ask though, is if this is a valid solution (maybe there is something pretty bad about it, that i just dont notice) and if it could/should be done better.