Walter Thurmond III and Brandon Browner have allegedly been handed suspensions of four games and one year respectively for abusing the league's policy on performance-enhancing drugs and substance abuse.
"Everyone should realise where this team is," Tate told radio station KIRO-AM. "You are affecting way more than yourself.
"I feel like that was kind of a selfish move on both those guys' part. But it is what it is. The show must go on, and that's what we're gonna do."
The Seahawks are 10-1 in their season and play the New Orleans in week 13.