Citing an unnamed source, Us Weekly reported that Bilson and Christensen have ended their romantic relationship.
However, an insider close to Bilson has called the report "absolutely not true" and insisted that the actors are still dating, reports Gossip Cop.
The pair met on the set of the 2008 sci-fi action thriller Jumper, in which Bilson played Christensen's love interest.
They recently called off their engagement, Bilson's rep confirmed.
Bilson recently joined the cast of The OC creator Josh Schwartz's CW pilot Hart of Dixie.