Big Tobacco has put up nearly $724,000 to repeal San Francisco’s recently passed ban on flavored tobacco products — and, from the looks of things, it may already have collected enough signatures to put the matter before voters next June.

The repeal is being spearheaded by a group called Let’s Be Real San Francisco, with major funding from R.J. Reynolds Tobacco Co. The group is also backed by the Arab American Grocers Association and the American Vaping Association.

Let’s Be Real spokesman Jaime Rojas said the city’s anti-flavored-tobacco ordinance, which was passed just last month by a unanimous vote of the Board of Supervisors, was “limiting freedom of choice” for consumers.

Rojas said his group plans to use its “resources — both financial and those on the ground — to begin educating the voters on what this ordinance is all about.”

The group has until Aug. 7 to deliver the 19,040 valid signatures of San Francisco registered voters to City Hall to qualify the repeal effort for the ballot. And it appears to be close, if it’s not there already.

The firm hired to collect signatures put out word this week that it had reached its goal and stopped gathering names. We’re told the signed petitions are now being verified before they are submitted to the San Francisco Department of Elections.

In the meantime, newly filed campaign statements filed by Let’s Be Real show it has already spent $287,000, including $150,000 to a Sacramento political consulting firm called GOCO and $11,000 to a direct-mail outfit in Santa Ana. The group reported $448,000 cash on hand.

The repeal drive is in response to a law authored by Supervisor Malia Cohen that bans stores from selling flavored tobacco products, which critics say often come in packages designed to appeal to kids.

The measure is not scheduled to take effect until April, giving merchants until then to sell off their remaining inventory.

Cohen wasted no time swinging back at the tobacco interests, calling the repeal bid a “ridiculous effort to put profit over people’s health.”

She said the tobacco industry was relying on the same multimillion-dollar formula that the soda industry used last year to try beat back a city ban on sugary drinks, without success.

“We won’t be able to match them dollar for dollar,” Cohen said of the tobacco money. “But we have a groundswell of support.”