The tournament was plunged into a crisis on Saturday night when two positive cases were detected on two charter flights carrying players into Melbourne.
Isolating players are unable to leave their hotel rooms for 14 days until they are medically cleared, but Tiley insists there are no plans to postpone the tournament.
"It's not something we wanted to happen," he told The Today Show. "We were hoping every flight would be okay. We're in this situation, we have to deal with it.
"The Australian Open is going ahead and we'll continue to do the best we can possibly do to ensure those players, who are not in a great position, find it somewhat acceptable.
"We're planning on 8 February, we do have that buffer time in there. We're looking forward to welcoming fans to the Australian Open.
"Ticket sales have been going well, we've got two weeks of great tennis and our intention is to continue with those dates."