CNN —

Civil rights leader Rev. Jesse Jackson remains hospitalized and is receiving care to stabilize his blood pressure, a source close to Jackson's family told CNN on Sunday.

In a statement released late Sunday afternoon, the family said he is breathing on his own without the assistance of machines and not on life support. The source added he is receiving medication to raise his blood pressure, which is a form of life support.

In the last 24 hours, Jackson’s condition has improved and he has been able to maintain a stable blood pressure without the assistance of medication.

Jackson, 84, a protégé of the Rev. Martin Luther King Jr., has been under observation for progressive supranuclear palsy (PSP), the Rainbow PUSH Coalition said Wednesday evening.

Further details about his conditio

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