Ivory did not accompany the Hurricanes to San Francisco, where Miami (7-5) will face California (8-4) on Saturday.
He also was suspended for the season-opener against Charleston Southern for another rules violation, but won Miami's Albert Bentley Award as the team's most valuable walk-on player.
Jake Byrne, who handles snaps on field goals, will take over Ivory's punt-team duties. Byrne will also be the backup quarterback behind Jacory Harris, who will start after Robert Marve was suspended for missing classes.
Tight ends Richard Gordon and Tervaris Johnson, along with linebacker Jordan Futch, were also suspended last week for the bowl game because of team rule violations.