"I know there's speculation out there about how long [Hill won't play], but he's truly a week-to-week injury,'' athletic trainer Rick Burkholder said.
Hill injured his collarbone and sternum in Sunday's win over the Jacksonville Jaguars. Burkholder said the procedure to reduce the sternoclavicular joint went well.
"There was no damage to any of his vital organs or his vessels,'' Burkholder said.
Hill stayed overnight at Baptist Medical Center in Jacksonville and returned on Monday to Kansas City, where he began rehab.
"He'll be monitored throughout this period where he goes through the phases of rehab like any other injury,'' Burkholder said. "We'll do some testing with him to make sure that the joint stays in the proper anatomical position.''
Earlier this month, Hill signed a three-year extension worth $54 million. It includes $35 million guaranteed, which is guaranteed against injury.