Don’t be surprised if you see Tarzan swinging through the concrete jungle.

Alexander Skarsgård, “The Legend of Tarzan” star who cut his teeth as a vampire on “True Blood,” has been spotted house hunting downtown. He looked at a duplex penthouse at 415 E. Sixth St., above a historic East Village synagogue.

The developers, East River Partners, restored the building’s 1910 neoclassical limestone facade and original stained glass windows.

Comedian and actor Aziz Ansari also looked at the unit in an earlier stage of construction, as we reported in September.

The 2,564-square-foot unit comes with three bedrooms, an open chef’s kitchen and two terraces that total 813 square feet. The penthouse is not officially on the market, but it has not sold. It was last asking $4.39 million.

“Lots of people are still looking at it,” the developer says. Meanwhile, only one unit in the three-home development remains publicly for sale.

This month, that unit, a two-bedroom, dropped in price from $3.25 million to $2.99 million following a broker swap from Stribling to Halstead.