Antonsson is reportedly on the transfer list at Elland Road.
The 27-year-old joined Leeds from Swedish side Kalmar FF as Garry Monk's first signing back in 2016, but he managed just three goals throughout the entire 2016-17 campaign with Chris Wood shining as Leeds' talisman.
He was loaned to Blackburn Rovers in the summer in order to give him some game time, but he failed to score regularly in Tony Mowbray's side - instead being used out wide more often than not.
With new boss Bielsa placing him on the transfer list along with Eunan O'Kane, Hadi Sacko, Luke Murphy and Caleb Ekuban according to the Yorkshire Evening Post, it appears that Antonsson is set to be the tenth player to leave this summer.
Felix Wiedwald and Madger Gomes have left the club permanently to Frankfurt and Sochaux respectively, while Andy Lonergan has been released. Jay-Roy Grot, Paudie O'Connor, Tyler Denton, Pawel Cibicki, Mallik Wilks and Lewie Coyle have all gone on loan.
It is unclear whether Malmo will be signing Antonsson on a permanent basis or indeed becoming another player to leave Leeds on loan. He has a contract at Elland Road until the summer of 2019.