Former Reading winger Little, released by Portsmouth earlier this summer, did his chances of securing a deal no harm by scoring direct from a free-kick in the Blades' 2-0 win at Lincoln on Tuesday, where Leigh Bromby scored his third goal in as many games.
United manager Kevin Blackwell said: "Glen has been eulogising about the goal. I've told him it's not going to affect his negotiating power! We're still talking about a possible move for Glen, but we are not a million miles away."
Jonathan Fortune is another player on trial at Bramall Lane but he did not feature against the Imps with Blackwell adding: "With
regards to Jonathan, unfortunately he tweaked his hamstring at the weekend, that's why he didn't play at Lincoln.
"Hopefully it will only be a few days before he is back in contention, but I do need to see him in games before I make a decision."
Blackwell also revealed goalkeepers Nicky Weaver and Jimmy Walker are currently training with the squad.