Former Gov. Andrew Cuomo is telling city power-brokers he will run for mayor of New York City should Mayor Adams be forced from office, sources told The Post.

Earlier this week, Cuomo met with attorney and longtime Brooklyn Democratic poobah Frank Seddio, and said he was in it to win it if Adams leaves his post — a move which would trigger a nonpartisan special election.

Cuomo has “told several people I know he’s running,” said one insider familiar with the discussions. “He [also] told real estate folks … that he’s running for sure in a special [election].”