Hibbs, who plays English teacher David Fischer in the project, told Digital Spy that the actress is a "master of her craft".
"It was such an honour working with Sridevi," revealed Hibbs. "She is a great artist and I learned so much about acting just by watching her work. She is a master of her craft at the highest level, each moment is honest, open and fearless.
"She shines on and off screen, and my life and art are different now due to working with her."
The New York-based actor said that although he had not seen much Bollywood prior to working on the film, he was looking forward to watching more Indian cinema.
"I did not know much about Bollywood before I did the film. I had heard of, but had not seen, the biggest hits such as My Name is Khan and, of course, I had seen Slumdog Millionaire", he explained.
"It wasn't until I got the role that I realised what a big deal it was, who I would be working with, and how beautiful the story, Gauri's vision, and Indian cinema in general was. I, of course, am a huge fan of Bollywood now."
The actor said that he also wanted to see Karan Johar's upcoming movie.
"I am looking forward to seeing the new film Student of the Year," he explained. "There was a trailer for it before English Vinglish when I went and took my family to the film last week. It looks sexy, sleek, and action packed... all the fun things I love."
Hibbs added that he is eager to catch up on Sridevi's filmography from the '80s and '90s.
"I'm also looking forward to going back into Sridevi's catalogue and watching her greatest hits," he said. "I've already seen the scene from Mr. India where she plays Charlie Chaplin, I look forward to seeing the rest of the film, as well as Chandni and Lamhe.
"I would love to do more Hindi cinema. Bring on the films!"
Directed by Gauri Shinde, English Vinglish tells the story of an Indian housewife in the US struggling to cope with the language barrier.
English Vinglish is out now.
Watch the trailer for English Vinglish below: