Press a shovel 2 to 3 inches away from fescue grass and at a depth of 6 inches to remove the root systems. Dig up fescue growing in areas next the ornamental flowers or trees where you do not want to use herbicide sprays that can harm nearby vegetation.
Spray fescue grass with an herbicide that contains glyphosate when you have a 48-hour window of dry weather. Glyphosate needs 48 hours to absorb into the foliage of fescue to inhibit the weed's ability to produce proteins.
Reapply the herbicide in 10 to 14 days to ensure the fescue is dead. Dig up dead areas of fescue grass. Burn or throw away the debris.
Till the bare patch of soil. Work a starter fertilizer high in phosphorous into the first 2 to 4 inches of top soil.
Lay a piece of St. Augustine sod over the bare areas. Cut the sod with a trowel, so that it fits over the bare patch. Water the soil side of the sod and lay over the bare area. To lay two pieces of St. Augustine sod next to each other, butt the sides of the sod together to prevent cracks.