The striker, who is a free agent after being released by Reading at the end of last season.
The Blades are in pole position to land Lita, but manager Kevin Blackwell has expressing his frustration with the player’s agents.
Blackwell: “I’ve been in contact with his agent. It’s a classic example of too many people talking for him. I’d like to think the kid could play his football and let the rest take care of itself, sadly it’s never like that.”