Dubbo Regional Council mayor Ben Shields has been taken off life support, however has developed 'other medical conditions' which are being treated.
Councillor Greg Mohr made a statement, as the family's nominated spokesperson, on Monday afternoon, which said Cr Shields remains in intensive care at Dubbo Hospital.
"Ben has been taken off life support but is still in a serious condition. Ben has now developed other medical conditions which are being treated," he said.
Cr Mohr thanked the staff at Dubbo Hospital for their care of Cr Shields.
"Ben continues to be cared for by the wonderful staff here at Dubbo Hospital ... the family cannot thank these medical professionals enough for their care and compassion," he said.
On Saturday friends and family of Cr Shields gathered in Victoria Park holding a vigil in honour of the mayor.
Candles were placed at the Dubbo Regional Council main office building in honour of Ben.
"Ben's family would like to thank those who attended on the night, especially those people who bought their dachshunds along in honour of Ben's love of dachshunds," Cr Mohr said.
Last Wednesday, Dubbo Regional council announced Cr Shields would take indefinite medical leave, effective immediately, with deputy mayor Stephen Lawrence to step into the mayoral role.
The announcement followed a public call by six councillors for Cr Shields to resign.
Cr Shields' family continue to ask for their privacy to be respected.
"Ben's family continue to ask that Ben's privacy be respected as he fights this battle, and that you please respect the privacy of his family," Cr Mohr said.