Detective Anders Bjargard said police suspect the victim was killed at another location and her body was moved to the apartment after she was dead, the Swedish news agency TT reported Wednesday.
One of the suspects being questioned reported finding the woman's body in bags. He pointed police to another man who he said was responsible for the killing.
Elisabeth Wernsten of the southern district police told TT that both men were apprehended at the apartment where the dead woman was found.
Names of the victim and the suspects have not been released.