Hamilton, who on Wednesday signed a two-year, $10 million contract with a team option for a third season, practiced with the Bulls for the first time on Thursday.
Both Hamilton and Bulls coach Tom Thibodeau were noncommittal on the shooting guard's status for Tuesday's game, the team's only other preseason contest, against the Pacers.
"Each day he'll do a little bit more. But one day [of practice] and a shootaround, I didn't feel comfortable with it," Thibodeau said.
"He'll get up to speed pretty quickly. Today, even with just one day of practice, he seemed a lot more comfortable, so I'm confident that he'll move along."
While the Bulls would undoubtedly like to get Hamilton on the floor for an exhibition, the ultimate goal is for him to be ready to roll when the team begins regular-season action against the Lakers on Christmas Day.
"It's a lot," Hamilton said. "[Thursday] was my first day of practice, getting in tune with everybody, the guys on the team and things like that. Learning a new system. Offensively and defensively, schemes and stuff like that. It's a lot. I just want to be fully prepared and [Thibodeau] thought so too, that I should be fully prepared before I go on the floor."
"This is like a regular game to us," Rose said. "We're not approaching it lackadaisically. We know it's time to get better. We can use this time always to go out there and get chemistry. We added along Rip. We got [rookie] Jimmy [Butler]. The starting five haven't played together against anyone new in a very long time. And we can use that to our advantage."
Nick Friedell covers the Bulls for ESPNChicago.com and ESPN 1000.