Under questioning by police, the man stated that Mavi died accidentally, according to newspaper Aftonbladet.
The couple had a disagreement on New Year’s Eve which escalated into a fight. The man admits trying to hide the body.
The man’s confession was also confirmed by another source to newspaper Expressen.
“We have no comment and that will continue until further notice,” said Christer Nordström, spokesperson for the Uppsala police, to news agency TT.
The man’s defence attorney also refused to comment on the revelations but says he’s upset by them.
“Irrespective of whether my client has confessed or not, this kind of information should not be released. I’m really upset. There is a gag order in the case,” said attorney Stefan Wallin.
The autopsy of the body is expected to be completed on Wednesday, after which investigators will have a clearer picture of how she died.
The forensic examination is also expected to allow authorities to confirm that the body is that of the 26-year-old Mavi.
Police are already convinced that the body belongs to Mavi, who was reported missing by her husband on January 2nd.
A 22-year-old man is also under investigation on suspicions of protecting a criminal and crimes against the peace of a burial place. He is believed to have helped the husband move the body.
The remains were found on Monday in the wooded area near Fjällnora outside of Uppsala.