Far-left Rep. Alexandria Ocasio-Cortez has not ruled out a primary campaign against Sen. Kirsten Gillibrand next year — telling an interviewer she was looking at a number of career options, including “higher office.”

“Don’t ask me that question. … Print that,” the Bronx and Queens lawmaker said jokingly when asked by Politico about a potential Senate run during an interview that was published late Sunday.

The 33-year-old “Squad” member did say she was weighing her future plans — including whether to remain in office at all.

“There’s a world where I’m here for a long time in this seat, in this position,” she told the outlet. “There’s a world where I’m not an elected official anymore. There’s a world where … I may be in higher office.”

Gillibrand, 56, was appointed by then-Gov. David Paterson to replace Hillary Clinton in 2009. She then won a special election in 2010 and full terms in 2012 and 2018.

In January, Gillibrand announced that she would seek another term, prompting speculation among New York political insiders that she could face a challenge from AOC, South Bronx Rep. Ritchie Torres, or another figure on the left wing of the party.

“If she ran for Senate, the fundraising that would come in from all around the country would easily make her competitive,” Ryan Adams, a Democratic consultant, told The Post at the time. “And nobody campaigns like her. Everyone would come out.”

“The apparatus that would spring up around her would be unstoppable. People would fly in from other states to volunteer with her,” Adams said.

Last month, the Daily Beast reported that Gillibrand had suggested to would-be donors that disgraced former Gov. Andrew Cuomo could launch a political comeback by trying to unseat her.

A Siena College poll published last week could give Gillibrand cause for concern ahead of 2024. The survey showed her favorability rating languishing at 46% — and just 43% of registered voters were on board with the idea of giving her another six-year term.