Evans said that starring in the 2005 superhero film Fantastic Four gave him a small idea about the kind of pressure that he would be under, but that it was nothing compared to the hype surrounding Marvel Studios' next release.
"In Fantastic Four they only wanted to talk to Jessica Alba, which is perfect for me, because if I had my way I'd never say anything," Evans told Comic Book Movie.
"This movie, it's a lot more demanding as far as promotion is concerned, which is scary," he continued. "I struggle with it at times, but Fantastic Four certainly helped break me in to understand the amount that was expected."
Evans added that despite his concerns about the film, he has a strong love for both the source material and the character himself.
"That's kind of why I like doing the film," Evans explained. "He's got these indestructible values.
"He's doing it because it's the right thing, and that's a really commendable way to live life."
Evans recently revealed that Captain America will join the modern day world at some point in the film, and that he will gain a new costume after joining the Avengers.
Captain America: The First Avenger is due out in US cinemas on July 22, and in the UK on July 29.
Watch a trailer for Captain America: The First Avenger below: