But Buonomo was non-committal.
"I'm honored by the thought, but I have no idea what I'm going to do," he said.
Meanwhile, another former challenger of Gay says he will not run against her again.
Joe Curtatone, the third-place candidate in March's primary, affirmed his support for Gay.
"I am not a candidate for mayor. I'm here working with [Gay]. This is a victory for all of us. All of my people came here tonight and have worked hard [for Gay], " he said.