Rose said Monday the hamstring was "getting better everyday," according to Sam Smith of Bulls.com.
Rose, 26, was the first pick in the 2008 draft. He was named the NBA's Rookie of the Year in 2009 and the MVP in 2011. Knee injuries caused him to sit out the entire 2012-13 season and limited him to just ten games last season.
Rose was criticized for telling reporters he was "thinking about long-term" with his cautious approach to his return.
The Bulls begin a seven-game road trip against the Clippers on Monday. Chicago's next game is on Thursday in Sacramento.
- Dan Gartland