Parham was diagnosed with a sprained wrist following his exit from Sunday's 24-17 win over the Raiders, Jeremy Fowler of ESPN.com reports.
X-rays returned negative and he avoided any structural damage to his wrist, but even though the Chargers are on their bye in Week 5, Parham's not a lock to be available for the team's return to action Oct. 16 versus the Cowboys. Though he's listed as the Chargers' No. 2 tight end, Parham has outproduced starter Gerald Everett this season by virtue of finding the end zone on three of his six receptions through four games.