The Bourne Legacy is a natural successor to the previous trilogy, according to cast member Edward Norton.
Jeremy Renner takes on the role of secret agent Aaron Cross in the upcoming thriller and some speculated that Universal Pictures were looking to reboot the action franchise following Matt Damon's three films as Jason Bourne.
But according to Norton, who plays the villainous Byer in The Bourne Legacy, the film is an "extension" of the Bourne series, rather than a fresh start.
"It's very connected, it's like chapters of a grand novel that's unfolding," he told a Cannes press conference while promoting his new film Moonrise Kingdom.
"I think [director] Tony [Gilroy] feels that ultimately we'll all loop back together, but that's up to him."
Norton added The Bourne Legacy focuses on "the way corporations have become this vampiric force in our lives", a common Gilroy theme.
"Whether it's Michael Clayton or Duplicity or the Bourne films, Tony's got this thread that he's pulling through about people, even governments, being co-opted by corporate forces.
"He's really protective about it but I think it's safe to say that in this instalment of the [Bourne] series - and he wrote the others - he's put that thread through it very strongly, about the way people in different sectors, science, government, all in some sense are working for these corporate forces.
"And he's very interested in the psychology of how people rationalise that to themselves."
The Bourne Legacy is due for release in August.