Kennedy has told Democratic Gov. David Paterson she wants the job should Clinton be confirmed as secretary of state for President-elect Barack Obama.

The person spoke on the condition of anonymity Monday because neither Kennedy nor Paterson have acknowledged she is seeking the position.

If appointed by Paterson, Caroline Kennedy, the daughter of President John F. Kennedy, would hold the seat once occupied by her late uncle, Robert F. Kennedy.

Other Democrats seeking Paterson's nod include New York Attorney General Andrew Cuomo.