Gotham legiters heading to Cincy will be in good “Company” in the coming weeks.

They’ll likely run into each other checking out the glowingly reviewed production of Stephen Sondheim’s 1970 tuner, now running at Playhouse in the Park in Cincinnati, as a potential Broadway transfer.

Richard Frankel, Barry Weissler and John Breglio — Sondheim’s entertainment lawyer, and the producer of the upcoming “A Chorus Line” revival — are among those who are going, or who have gone already, to take a look.

The “Company” production, which garnered strong support from local critics as well as praise in the New York Times, is directed by Brit helmer John Doyle. Doyle employs the same actors-doubling-as-orchestra approach he uses in the current Rialto revival of another Sondheim musical, “Sweeney Todd,” which garnered the best reviews of the Broadway season.

And the Doyle-Sondheim pairing has been good news so far for producers: “Sweeney” just recouped its original $3.5 million capitalization after 19 weeks of steady biz and has put tickets on sale through the end of the year.

“We’re going to be talking about ‘Company’ really seriously in the coming weeks,” said Frankel, who produced “Sweeney.”

But will a second Doyle production of a Sondheim show, starring actors who also play all the instruments, elicit a been-there-done-that shrug from the Great White Way?

” ‘Company’ stands on its own,” said Playhouse artistic director Edward Stern. “I hope New York gets to see it. But it’s not like I have a financial investment to guarantee a move.”

Breglio said that, despite the flurry of interest, it’s too early to predict a transfer. “Most of the usual suspects are coming out of the woodwork,” he said. “But we’re not going to make any immediate decisions.”