Hitchcock-inspired comedy “The 39 Steps” will step into its third Broadway venue next year, wrapping up perfs at the Cort Theater Jan. 11 before picking up again at the Helen Hayes Jan. 20.

A hit in London, “39 Steps” made its Gotham bow at the Roundabout’s American Airlines Theater before moving to the Cort in April.

Scribe Patrick Barlow’s four-thesp, quick-change adaptation of the 1935 Hitchcock pic is helmed by Maria Aitken. Play began life at London’s Tricycle Theater in 2006 and moved to the West End, where the show is still playing.

New York cast currently includes Sam Robards, Jennifer Ferrin, Arnie Burton and Cliff Saunders. Francesca Faridany and Jeffrey Kuhn replace Ferrin and Saunders Oct. 28.

At the Cort, weekly sales for “39 Steps” have largely hovered between $200,000 and $300,000. For the week ending Oct. 12, the show grossed $242,757 and played to 71% capacity auds.

At fewer than 600 seats, the Hayes is Broadway’s smallest house, and therefore more viable for extended runs of small-scale plays like “Steps.”

Production will follow a limited holiday run of “Slava’s Snowshow” into the Hayes. “Slava” shutters Jan. 4.

At the Cort, “39 Steps” makes way for Will Ferrell’s Rialto debut, “You’re Welcome America. A Final Night With George W Bush,” beginning perfs at the Cort Jan. 20 (Daily Variety, Oct. 17).

“Steps” is produced by Bob Boyett, Harriet Newman Leve/Ron Nicynski and Stewart F. Lane/Bonnie Cromley, among others, along with the Roundabout and Boston’s Huntington Theater, where the production had its American preem in 2007.