Abbott is unlikely to play in Perth, with Hazlewood set to join Mitchell Starc and Scott Boland as specialist seamers.
Cummins, who is recovering from a back injury, is expected to return for the second Test in Brisbane starting on 4 December. Batter Steve Smith will lead Australia to the left of Cummins.
Like most Australian players, Hazlewood is involved in the current round of Sheffield Shield matches in preparation for the Ashes.
Before this week, he had not played a first-class match for New South Wales in over a year.
He felt tightness in his hamstring towards the end of the second leg in Victoria on Wednesday and left the field as a precaution. Neither Hazlewood nor Abbott batted in New South Wales’ second innings as they lost by 300 runs.
“We’re a week away from the Test series – always err on the side of caution,” Cummins said.
“They want to know what’s going on before they push it and tend to make anything worse.
“He rarely gets chipper, so it’s good to see him smile.
“He really knows his body. I think he’s a little worried (and) wants to get it. He’ll only be seen briefly.”
Abbott won 57 caps for Australia in White-Ball Cricket.
The unstoppable Brendan Doggett is the other seamer in the squad, providing cover for Starc, Boland and Hazlewood.