In a statement, the former WABC-AM morning host said he will have "a few things that listeners haven't thought of yet, or don't want to think about."
WABC dumped Kuby for Imus, who returned to radio last December.
CBS Radio fired Imus in April 2007 for making offensive on-air remarks about the Rutgers women's basketball team.
At WABC, the left-leaning Kuby had sparred with Guardian Angels founder Curtis Sliwa since May 2000.
Kuby, who is a lawyer, is a guest anchor for trial coverage on truTV's "In Session."