(CBS News) -- Secretary of State Hillary Clinton is expected to make a "full recovery," according to a statement released by her doctors at New York Presbyterian Hospital in New York City.

Secretary Clinton spent her second night at the hospital Monday, where she is being treated for a blood clot that formed in her head following a concussion she suffered weeks ago. Doctors discovered the clot on Sunday in an MRI.

"This is a clot in the vein that is situated in the space between the brain and the skull behind the right ear," her doctors, Dr. Lisa Bardack and Dr. Gigi El-Bayoumi, said in a statement. "It did not result in a stroke, or neurological damage."

Clinton's doctors said they need to monitor how she responds to her medications, which include blood thinners, before she is released.

Secretary Clinton's husband, former President Bill Clinton, and daughter Chelsea visited her on Monday, and a number of senior aides remain inside the hospital with her.