Branch was released by the Bills after a DUI arrest in August. The Patriots reportedly are going to be without defensive end Chandler Jones (hip) for about a month, leaving a need to add depth on the defensive line.
Jones recorded four tackles and a sack in the team's Week 7 win over the Jets last Thursday after entering the contest listed as probable. He has posted 4.5 sacks over six games this season.
Kuechly was ejected from Sunday's game after the incident, which the linebacker contends happened because he wasn't aware it was an official pulling him from behind after a play. Panthers coach Ron Rivera disagreed with the decision to eject Kuechly and predicted the linebacker wouldn't face a fine.
"Mentally, I feel like I'm in the game plan. Mentally, I feel prepared for the games. It's just ... I don't know what it is," he told the website. "I'm not finishing plays. I'm not doing what I'm supposed to do."
White, who turns 33 next month, vowed to fix the problem. And he said injuries are not a factor.
"It's frustrating me," he said. "I'll figure it out, though. I will figure it out."
"I feel pretty good. Sore regardless," Wayne said. "It's a brutal game."
The station speculated earlier that Wayne could miss one or two games. Indy visits the Steelers on Sunday.