The Blades wing-back was stretchered off in Saturday’s victory over Ipswich Town with a dislocated knee.
It was initially feared Freeman could face a lengthy spell on the sidelines but scans have indicated the damage is not too severe, and he could return in six to eight weeks.
It is a huge relief for Blades manager Chris Wilder, who has seen United storm the Championship with the deployment of wing-backs.
“Kieron will only be out for six to eight weeks, which is really good news,” he said.
“He’s got another scan, because there is still a little bit of swelling and they need to test the ligament on the side of his knee.
“It’s exceeded all our hopes, because the fear is when you dislocate your knee there’s all sorts of damage. We are delighted with that.
“With a ruptured knee, I think Coutts (Paul Coutts) was out for the season.”