The injury means he will also miss the ATP Cup miss in Australia that starts on 3 January 2020.
"The unique nature of Murray’s situation comes with uncertainty," Avakian wrote. "He says he feels 'zero pain in the hip' and surgeon Sarah Muirhead-Allwood is happy with the progress. But no person has had to play a five-hour, five-set singles match with a metal hip in extreme heat, let alone multiple matches."
Rally for Relief raises funds for bushfire crisis
Roger Federer, Serena Williams and Rafael Nadal were among the stars taking part in the Rally for Relief last Wednesday.
Defending Australian Open champions Naomi Osaka and Novak Djokovic also featured, with Caroline Wozniacki, Stefanos Tsitsipas, Petra Kvitova, Alexander Zverev, Coco Gauff, Dominic Thiem and Nick Kyrgios also at the Rod Laver Arena for the exhibition event.
Kyrgios had urged Tennis Australia to organise an event before the Australian Open in aid of the bushfire relief.
And Rally for Relief was the outcome, with all proceeds from the event going to the .