Eddie Cibrian Eddie Cibrian

LeAnn Rimes will be saying goodbye to fiancé Eddie Cibrian for one week while the hunky Third Watch vet returns to Texas to reprise his Ben Crowley role on NBC's Chase.

Earlier this season, Eddie debuted his sweet-talking bounty hunter who is both competition — and a romantic interest — for Deputy U.S. Marshal Annie Frost (Kelli Giddish). The character seems to have caught on with fans.

Eddie's next episode, "The Man at the Altar," is set to air February 23 and finds Annie pursuing a cop killer. And during her down time, she's also pursuing her romantic feelings for both Ben and Cole Hauser's character, Jimmy Godfrey.

Annie — time to focus.

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