Add former City Council President Jackie Cherryhomes to the list of potential mayoral hopefuls awaiting a fourth-term decision from Mayor R.T. Rybak.

Cherryhomes, who is now a consultant and lobbyist, said Monday that she is “strongly considering” a run for the city’s top position. That is, if Rybak chooses not to seek another term – a decision that will likely come by Jan 1.

“I am considering if the mayor is not running,” Cherryhomes said. “But I would never run against the mayor. He’s my mayor and I support him 110 percent.”

Ten years after she was defeated by a young upstart, Cherryhomes remains one of the more influential behind-the-scenes forces at City Hall. She often lobbies on behalf of developers and other businesses hoping to steer projects through the city bureaucracy.

Cherryhomes said the timing of her decision depends in part on when Rybak makes up his mind.