The team plans to leave Payton's seat on the bus and plane empty this season as well as in meetings, according to a report in The Times-Picayune of New Orleans.
Vitt told the paper that coach's absence is already felt.
"Since I've been here, as soon as we got off the practice field, Sean and I would go right to a meeting and talk about what we wanted to do differently in the afternoon," Vitt said. "I didn't have that this year. We also would do a lot of communicating on the practice field. What do you think of this? What do you think of that? That was a huge void right from the get-go and something we're going to have to get used to."
Payton is prohibited from speaking with the team about football matters during his suspension and can only talk with a member of the team about a non-football issue with the team's legal counsel present, the paper said.