The injury normally takes six-to-eight weeks to heal. Romo also suffered a small puncture of his lung as a result of the rib getting fractured, but that healed prior to the Week 3 game against Washington.
Romo will still wear a vest to protect the rib.
"They're getting better," Romo said after Thursday's practice. "Hopefully in a couple of weeks, they'll be all the way healed. Still the vest. I think we've got the shot one more week hopefully and then we're done. We'll see. That's what they're telling me."
Romo is just getting shots to perform on game days and doesn't appear to have any physical issues attempting passes or moving around the pocket. He's taken a few knockdowns since the 49ers game and gotten up slowly on a few hits but nothing that would cause the Cowboys any concern at this point.
The vest Romo wears is a little cumbersome, but he's used to it now.
"It will be nice whenever I'm able to wear something a little smaller," he said. "But it's been great. It's been a benefit. It will be nice here going forward."
In other Cowboys injury news, DeMarcus Ware had limited particiption in Thursday's practice after sitting out the previous day to rest a sore back.
"It looked like he moved around a little bit better," coach Jason Garrett said.
Calvin Watkins covers the Cowboys for ESPNDallas.com.