Oberoi told Screen that Basu was a wreck as the Ferris wheel turned, but she managed to make it through the shoot for Omkara without anyone but him realising how scared she was.
Basu and Oberoi are among the stars of Omkara, which is based on Shakespeare's Othello.
Basu's fear of heights apparently took him by surprise during the film shoot.
As the wheel took them skyward, Oberoi said Basu grabbed hold of his hand and squeezed her eyes shut. "She confessed that she was petrified of heights and ordered me to close my eyes too," he was quoted as saying.
Oberoi said he was torn between feeling sorry for her and fighting the urge to laugh while assuring her that they would both be fine.
"She was such a wreck by the time we made it all the way up that I was convinced she'd never be able to pull off the scene we were to shoot. But I admire the girl's guts. She conquered her fears and sailed through the moment without so much of a tremor," he reportedly said.