The former governor, who resigned in disgrace, has not officially entered the race for New York City mayor. But he has spent months laying the groundwork.

Cuomo, 67 years old, has been gauging his mayoral chances for months, according to several people with direct knowledge of the conversations. Longtime allies of New York’s former governor have been working to put the pieces of a campaign together around him in the event he jumps into the race, the people said.