Boutte was on the field for 15 of a possible 64 snaps on offense in Sunday's 30-13 loss to the 49ers, Mike Reiss of ESPN.com reports.
Boutte, who caught his only target for 11 yards, remains behind Ja'Lynn Polk, K.J. Osborn and DeMario Douglas in the Patriots' WR pecking order. The 2023 sixth-rounder would need an injury or two ahead of him on the depth chart to log steady playing time.