Speaking at Spurs Lodge on Monday, Ledley reports an improvement and hopes to step up his training over the course of the week.
"I think it's coming along now," said Ledley. "It wasn't ready for the game at Bolton on Saturday, but I'm hoping it will be ready for this one."
Our new England international admits he is yet to test his injury with sprinting and ball work.
"I haven't done that yet, but hopefully through the week I'll begin to do some of that stuff."
Ledley King is hoping to in contention for a first team return after his Achilles injury in time for the visit of title chasing Liverpool on Saturday.