The trio were out of practice for a second straight day on Thursday. All three are question marks for Sunday's game against Chicago.
Hasselbeck has a cracked rib, Tatupu an injured hamstring and Griffith has a sprained knee ligament. Coach Jim Mora says Griffith is most likely to play.
Cornerback Ken Lucas (groin) and defensive tackle Brandon Mebane (calf) were both limited in practice, while receivers Deion Branch and T.J. Houshmandzadeh, and offensive linemen Chris Spencer and Walter Jones were full participants on Thursday.