The 32-year-old full-back left Leeds earlier this summer after his second spell with the club.
Byram made 80 appearances over the past three seasons and helped Leeds win the Championship title in 2024/25, featuring 36 times.
“I’m buzzing to be here,” Byram told club website.
“It’s a club I know well from playing against them over many seasons, so I’m very familiar with the place and delighted to be here.
“It’s a great club and a big club, and one that I’m really happy to be part of."
He continued: “I’ve been around this league for a number of years and had a couple of promotions in that time, so I know what it takes.
“It’s an incredibly tough league and a long season, but it’s a great squad and great group.
“If I can add a bit of experience and a bit of quality, that’s what I’m here to do.”