Hombsch sustained the injury while undertaking a training drill at Alberton Oval yesterday morning.
The club will continue to monitor Hombsch's progress following the injury.
Senior forward Brett Ebert will also continue to be monitored following an injury to his hamstring in the SANFL last Saturday.
A further update on both players will be provided on portadelaidefc.com.au next week.
Port Adelaide injury list as of Friday 2 August:
Brad Ebert - cut above eye (available)
Daniel Stewart - hip (available)
Brett Ebert - hamstring (TBC)
Jack Hombsch - fractured cheek (TBC)
Jarrad Redden - hip (season)
Jarrad Redden - hip (season)
