The 2-1 home win against Nottingham Forest took Blues' unbeaten run to five games since Rowett replaced Lee Clark as manager at St Andrews.
"We were very good in the first half but Nottingham Forest are always a threat and we had to work hard as a team in preventing them getting space," the Blues boss said after the game.
"I thought we showed some good quality going forward with (Andrew) Shinnie getting into some good areas.
"The second half was a worry because Forest came out and put us under some pressure.
"We rode our luck and got a huge slice of good fortune at the end. I wouldn't say on the balance of play we deserved to win but we deserved something for our efforts.
"We are now on a good run and the players are showing a bit more confidence and showed a new level of performance and a reaction that suggests they want to keep it going."