Tonyan was targeted once but failed to catch a pass in the Bears' 17-9 loss to the Packers on Sunday.
Tonyan played 17 of 71 snaps on offense and went without a target in Sunday's 28-13 win over the Lions.
Tonyan caught one pass for eight yards in the Bears' 30-13 loss to the Chargers on Sunday.
Tonyan caught both of his targets for 10 yards in the Bears' 40-20 win over the Commanders on Thursday.
Tonyan (back) is active for Sunday's game against the Packers.
Tonyan was added to the injury report Saturday with a back injury and is listed as questionable for Sunday's contest against the Packers.
Tonyan is expected to see significant snaps in the regular season, Kevin Fishbain of The Athletic reports.
Tonyan was "pretty involved" with the first-team offense during OTAs with the Bears expecting to use more sets with two tight ends than in 2022, Kevin Fishbain of The Athletic reports.
Tonyan agreed Thursday with the Bears on a one-year deal, Adam Schefter of ESPN reports.
Tonyan caught all three of his targets for 29 yards in Sunday's 20-16 loss to the Lions.