Before taking a tour and meeting with students at the UCAN Academy on West Grand in Chicago, Marshall discussed the March incident in a New York nightclub the weekend before he was traded from the Dolphins to the Bears.
A woman has accused Marshall of punching her in the face during the nightclub altercation, but no criminal charges have been filed.
"This situation in New York ... there are surveillance cameras all over the place," he said. "And there are not too many places a 6-foot-5, 230-pound guy can hide. So the truth will come out. And when it does, I think I will be sitting in a great place."
Marshall and Cutler are reunited after teaming up three years ago with the Broncos. Marshall said they both have matured on the field.
"He's amazing. We all know what type of arm Jay has," Marshall said. "The biggest thing I've seen in Jay (now) is his leadership. ... He's leading us and inspiring us day in and day out. ... Man, we can't ask for a better leader, a better captain. ... Where he is at with the mental part is a sight to see."
Marshall also candidly assessed his own progress as a receiver, saying he has matured.
"It's amazing when I sit down and look at film from the Denver days, because we're installing some of the things we did there," he said. "And to see how terrible I was and (how) immature I was on the football field ...
"(But now) I have the contract, I have the individual accolades. The only thing we need now is to, as Beyonce says: 'Put a ring on it.' "