Swaim (undisclosed) won't play in Thursday's preseason contest against the Dolphins, John Reid of The Florida Times-Union reports.
Swaim is still managing the unspecified injury, which also kept him sidelined for last week's exhibition game versus Philadelphia. The 25-year-old projects to start at tight end for the Jaguars when healthy, though he could face pressure from rookie Josh Oliver (hamstring) down the road.