The Bulls said Rose has a sprained ankle and is day to day.
Rose said he'll get an X-ray on Monday and perhaps an MRI on Tuesday.
As the final seconds ticked off the clock, Rose moved close to Hawks guard Jamal Crawford and his left foot landed on Crawford's foot. Rose hobbled away.
"Don't know [what happened], just came over, tried to steal the ball," Rose said. "Twisted it somehow."
Rose said he'll get treatment "from morning to night, and then you go home, the same thing. I've got a machine I take home with me, and I just ice my foot the whole day."
It's the same ankle Rose sprained in Game 4 of the quarterfinals against the Indiana Pacers on April 23. He returned in that game and played in Game 5, but he didn't seem to have his same explosiveness.
"Same, feels the same way," Rose said. "I'll just get treatment on it."
As first reported by ESPNChicago.com, Rose will be named the NBA's MVP on Tuesday.
He played just under 41 minutes, and he scored 24 points against the Hawks.
Rose said he's not worried about being ready to go in Game 2 on Wednesday.
"I'm not worried about that," he said. "I think my body is in good hands with my trainer. They do a good job making sure I get treatment every day, all day. I should be alright.
"I'm good. I'm good. I'm getting treatment. There's no excuses right now. You got to play through injuries. Everybody has injuries probably right now through the playoffs, but they're fighting through it ... [We're] just trying to win games."
Roman Modrowski is an editor for ESPNChicago.com.