Don't shuffle, walk
Keep your feet under you, big loping strides will cause you to bob or bounce making it hard to track the sights.
Bend everything, just like using your whole body to absorb recoil you want your whole body to absorb the shock of your feet hitting the ground so that it doesn't transmit to your sight picture.
Walk heel to toe when moving forward, toe to heel when walking backward.
Get low and aggressive, lean more, crouch more, get your center of gravity lower.
Lastly, watch your sights, they will let you know when it's not right.