The 42-year-old singer is scheduled to have her babies at St. Mary's Medical Center Oct. 22, the newspaper quoted an unnamed insider as saying.
Four rooms at the hospital's refurbished birthing center have already been set aside for Dion, her family, staff and security.
The newspaper said the hospital is doing everything to make Dion comfortable during her stay, putting in her room a microwave oven, fridge, queen-sized bed, new towels, bath mat, robe, pillows and comforters.
Dion also was allowed to handpick the nurses she wants to attend her, the report said.
Ryan Lieber, a spokesman for St. Mary's owner Tenet, told the Post it has not been confirmed if Dion will deliver her babies at the hospital.
The singer and her family recently moved to Jupiter Island, Fla.