Choose a large basket that is durable enough to carry the weight of the baby and the bedding. Ensure that the basket is almost 50 percent longer and wider than the baby, so that he has room to kick his legs and move his arms.
Place the quilted material on a large table or on the floor. Place the basket in the middle of the fabric, right side up. Trace around the base of the basket with a crayon.
Pull the fabric up around the outside of the basket to the top edge of its sides. Hold the material here to mark it with a crayon to determine how much is needed. Continue marking the fabric along the edges of the top of the basket.
Remove the basket and lay the fabric flat. Connect the outside crayon marks so that you now have a large outer oval that traces the top edges of the basket and a smaller oval that traces the base of the basket.
Using the crayon and ruler, draw eight pairs of 10-inch long and 3-inch wide V-shaped tie pieces extending from the outer oval on the material. Place three double ties evenly on each side and one at each end of the baby basket.
Cut out the liner along the outer oval and ties extending from it, so the liner and V-shaped ties are in one piece.
Place the liner in the basket. Loop one side of the V-shaped tie around the top edge of the basket and the other through the basket approximately 2 inches below the top edge. Knot the two ends of each tie together to attach the lining to the Moses basket. Finish each tie with a bow and cut off excess material.