Heather Locklear and Jack Wagner
11/15/2011 AT 03:30 PM EST
and Jack Wagner's Melrose Place
characters wed on TV almost a decade ago, but there is no real-life marriage in the works for the actors who played Amanda Woodward and Peter Burns.
"Jack and Heather are no longer engaged," Locklear's rep tells PEOPLE.
The longtime couple, who got engaged in August
, had Locklear's daughter Ava's stamp of approval
"Ava was so excited when we told her," Locklear, 50, told PEOPLE shortly after the big announcement. "She hugged Jack, said congratulations, and she immediately wanted to see the ring. Then she ran and Facebooked her new stepbrother."
The actress was previously married to rockers Tommy Lee (1986 to 1993) and Richie Sambora (1994 to 2006).