Boykin awkwardly turned his right ankle in last Saturday's 23-17 home victory over Kansas and didn't play after halftime.
Josh Doctson injured his left wrist after a catch in the first half of TCU's loss at Oklahoma State on Nov. 7. He played against the Jayhawks, but had only one catch for 12 yards.
Doctson has 79 catches for 1,337 yards and 14 touchdowns this season, but has been limited to only seven catches for 76 yards without a score the last two weeks.
Patterson said Tuesday that redshirt freshman Foster Sawyer could be the likely starter for the 11th-ranked Frogs if Boykin doesn't play.