Prabhdeep Srawn, a 25-year-old Canadian military reservist from Brampton, Ont., disappeared during a bushwalk southwest of the capital Canberra.
After police scaled back their search last week due to poor weather, the family offered a reward for locating Srawn alive in the hope it would prompt hikers to take up the search.
Dr. Tej Sahota, whose wife is Srawn's cousin, says the family is changing the conditions of the reward to "alive or dead" in an effort to get more people looking.
Sahota, in an interview Thursday from Canton, Ohio, says the family hasn't given up hope Srawn will be found alive.
Sahota says this is a holiday weekend in Australia and the family is hoping the change in the reward will get more people out looking for Srawn.
"We think that he will still be found alive," Sahota said, adding they have been having a difficult time getting hikers and climbers out to search.
People say they want to help find Srawn but they have said they are not certain he would have survived, Sahota said.
"This'll give them any sort of incentive to try to get out there," he said.
Hikers may be prompted to notify authorities "if they see a piece of clothing or something like that on the ground," he added.
"Any information that led to his recovery or rescue would be useful," Sahota said.