The studio told TheWrap on Sunday that a new deal has not yet been finalized. Neither the producer nor his spokesman returned emails seeking comment.
Di Bonaventura has been at Paramount since 2002, producing many of the studio's most successful movies during that span.
His next "G.I. Joe" movie, Paramount's "G.I. Joe 2: Retaliation," is set for release in June.
The Hollywood Reporter has reported that a new deal is in place.