"He'll be around there somewhere at the finish, but everyone needs her to have an off day," Price said.
"If you have horses behind you and only Pride Of Jenni in front of you, it's a tough gig, but I don't think that will be us.
"I'm not sure who it is, and that is why it can be an upset race. You can only ride the race you are in, not Pride Of Jenni's race.
"If she capitulates, you're on, if not, no-one beats her."
Price said he had been wanting to test Sabaj at 2000 metres, and felt the TAB Australian Cup was the right race to do that.
But with the 'hiccup', he does not know whether Sabaj will get to that race and he may need to wait for the Queen Elizabeth Stakes at Randwick next month.
The Group 1 Doncaster Handicap (1600m) may be an option in the lead up.
"He's a good miler on a big track but plans are up in the air because we had to divert," Price said.
"I've been keen to try him at 2000 metres because I think he's got that tempo about him and if they do get 2000 metres, it opens up more options.
"He could end up in the Queen Elzabeth, or he could go to Queensland, but we were going to find out a but in the Australian Cup."