And for good reason.
Rozier had 12 family members, including his mother and grandmother, watching from just behind the U of L bench. He's from the Cleveland-area and said "it was great to have them here."
The freshman guard sure put on a show for his family, coming up huge in U of L's 58-57 victory over the Bearcats in a key AAC game.
"He was real big," said senior Russ Smith, who hit the game-winning jumper off a pass from Rozier. "He's just so smooth and steady.:
Rozier hit 5 of 8 from the field, including 1 of 2 from three-point range, and finished with 11 points, six rebounds, two assists, one steal and no turnovers in 22 minutes. On the final play, Rozier had a shot but said it was going to be contested, so he found Smith.
"That was a big play for us," U of L coach Rick Pitino said. "He made a good play."
Rozier said when Pitino called the final play he didn't think it would be him open.
"But when I was on the wing, he was screaming, 'Get open, Get Open'," Rozier recalled. "When he started to drive, I lifted up and was kind of wide open for a three. I went in a bit but I saw two guys committed, so I passed to Russ.
"I was worried a little when I did it that he didn't have much time left. But luckily, we had enough time left and he hit a big-time shot."
Rozier has now scored in double figures in three straight games and in that stretch has also played 20-plus minutes. He has just 15 turnovers this season in 536 total minutes of play.
"I have been doing pretty good the last couple of games, I just want to keep going," Rozier said. "All of my teammates and coaches are helping me out and I just want to keep going and keep getting better."
Pitino said Rozier has improved over the year and is "not your typical" freshman because he spent a year at prep school.
On this day, Pitino said "Terry was great, Terry was really great."
Rozier, who credits his mother for him being more mature than a typical kid his age, said he doesn't feel like a freshman.
"Age and freshman don't mean anything to me," he said. "That's just from the way I was brought up. I didn't have much, had to do it on my own, and I think that's made me like that.
"I just want to keep doing this with my teammates. It's fun."