The 28-year-old tops the shortlist of actresses to co-star in Marvel Studio's upcoming The First Avenger: Captain America.
Carter could join the recently-cast Chris Evans and Sebastian Shaw in the superhero movie.
Eve appeared in the recent big screen comedy She’s Out of My League and will next be seen playing a nanny in the second Sex and the City film.
Another British actress, Hayley Atwell, is also up for the role.
Captain America, directed by Joe Johnston, arrives in US cinemas in July 2011.