Gutierrez said Tuesday that Jackson has a responsibility to give details.
Jackson's location and exact medical condition are unknown. At first, staff said the Chicago Democrat was being treated for exhaustion. But last week a spokesman said Jackson's condition was more serious and required inpatient treatment. They also disclosed that Jackson has suffered from emotional problems.
A Jackson spokesman didn't return messages seeking comment.
On Monday, U.S. Sen. Dick Durbin said Jackson should give an update "soon."
Jackson's father, the Rev. Jesse Jackson, has called it a private matter and said details will emerge when the time is right.
Copyright 2012 The Associated Press.