According to Hollywire, pop duo Kevin and Joe Jonas have read for the role of Marvel's flagship superhero and other parts in the movie.
Cook, meanwhile, revealed on his Twitter page that he had been bulking up in the gym to audition for the action-adventure project but felt his chances of landing the role were slim.
"I did already [audition]," he tweeted. "The might b goin young. I say go RDJr [Robert Downey Jr] route-gimme the part!"
John Krasinski (The Office), Chace Crawford (Gossip Girl) and Mike Vogel (Cloverfield) are believed to be the remaining candidates for the role after Michael Cassidy and Scott Porter admitted that they were out of the running last week.
Captain America is scheduled to begin production in the UK this summer under the direction of Joe Johnston.