It's been claimed Williams is now rated ahead of Shaw in the left-back pecking order at United.
Shaw said, “As for Brandon, I relish the challenge from him 100 per cent. In the past people have come in at left back who have maybe been switched from other positions.
“Since I've been here that hasn't really been that much competition. Now there is and that's good for me, not just the club.
“We don't kid ourselves that it's been a good season so far, but at the same time we really do believe the potential is there to become a top team.
“It might look like we are taking one step forward and one step back, but we are developing as a unit and I really feel we're becoming better."