Another Hollywood couple might be heading towards Splitsville.

A source close to Kate Hudson and Muse rocker Matt Bellamy say that the couple's relationship isn't going well these days. Despite their whirlwind engagement (she said "Yes" a little over a year after dating), the insider says that the pair are definitely not heading down the aisle anytime soon: "Kate and Matt have been on the rocks for some time... They're not in a great place."

Although the pair spent the holidays with their 2-year-old son, Bingham, in Australia and Bellamy's native UK, Hudson has been spotted in L.A., New York, and at the Sundance Film Festival without her fiance. Last Tuesday night, Hudson attended an event in L.A. where she was seen without wearing her engagement ring.

While their relationship might be on the rocks, the source added that they "are still living together" and that "Kate is not giving up."

Reps for the stars have yet to comment.