The couple have been dating quietly since December and only went public with their romance last month.
Last week, the National Enquirer claimed the couple were planning to make it official and elope to Cabo San Lucas in Mexico over the Labor Day holiday weekend.
However, Carrey's representative says, "They are not engaged. It's a rumor."
McCarthy's spokesperson reiterates, "They are not engaged."
The couple have remained tight-lipped over their relationship, but McCarthy recently revealed, "He's an amazing person and that's all I have to say. I'm very happy."
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