Basham said on Instagram: “Had my two surgery’s done now and I can’t thank the surgeons enough for the fast response to me, the first surgery was for cleaning up the wound I suffered and dislocation, the second surgery was to repair the ligaments and to fit a plate on my bone where the fracture was.
“I’m in a cast now and it feels a lot more comfortable.
“Will be in London still for another few days but then be going home to recover in the right way.
“Trying to stay positive everyday with great family and friends around me. Still overwhelmed by the support I have received thank you.”
Basham is in his 10th year with the Blades, having joined from Blackpool in 2014, and has made eight Premier League appearances this season.
The Blades won promotion back to the top flight last season but have yet to register their first win after eight matches and sit bottom of the table.