The father is her fiance, rock musician Alex Santana. Leslie had no details on when the Los Angeles-based singer - who fronts the Jane Carrey Band - is expected to give birth.
In a statement issued by Leslie, Jim Carrey says he's "very excited" and "Jane is going to be a great mom."
She is the 47-year-old actor's daughter with his first wife, Melissa.
Carrey's longtime partner is Jenny McCarthy, who has a son, Evan, from a previous marriage.