Sen. Mitch McConnell, R-Ky., attends a Senate Appropriations Subcommittee hearing June 3 in the Dirksen Senate Office Building near the U.S. Capitol in Washington, D.C. McConnell's office issued a statement Monday saying the senator is not yet medically cleared to leave a rehab facility. Photo by Bonnie Cash/UPI | License Photo

July 27 (UPI) -- A new statement from Sen. Mitch McConnell's office on Monday said the senator "is not yet medically cleared" to leave a rehab facility after a fall last month.

Questions about McConnell's health and status have grown since the senator was hospitalized in mid-June. After weeks of near-silence from his office, the senator, 84, said in a statement earlier this month that he was hospitalized after a fall and was undergoing physical therapy at a rehab facility. There is no word on when he will return to the Senate.

The statement Monday included an update from the Office of the Attending Physician, which said, "Since [McConnell's] discharge from hospital care, he has maintained a strenuous course of physical therapy and rehabilitation, including multiple sessions a day designed to rebuild strength and reduce the risk of future falls."

The OAP also said, however, that McConnell isn't medically cleared to leave the facility.