Bimenyimana was handed his debut on Saturday against AmaZulu coming in to play the last twenty minutes as a replacement for Ashley du Preez.
It was his first slice of game time at club level this year having last played club football last year in Kazakhstan.
"The boy will definitely help Chiefs become a better team," says Bimenyimana’s fellow countryman Aime Kitenge.
Kitenge is the longest-serving Burundian in South African football and is well informed about the game in the country.
"The reality is that the boy has been brought in at a time when the club is going through some challenges, so he is not joining a winning team.
"This then means his integration will not be as easy as that of players joining a winning team like Sundowns.
"Chiefs have not won trophies for years, so the level of pressure and frustration is different, and they have a new coach at the helm who is still trying to find his way in that space.
"So, I kindly beg the fans to be patient with Caleb because he won’t start firing right away but will come good with more minutes.
"The boy will help Chiefs in the air plus they can play off him depending on the strategy that they use.
"In his first game, he was nervous but once he settles in then he will help the team.
"He knows the expectations and understands the pressure that comes with being at Chiefs.
"I think he needs to be given about three of four games to adjust and then we can start talking after that.
"Along the way he needs to be given a start.
"They need to be patient in giving him his chance.
"This is the first time for the boy to play in South Africa, so I kindly ask that he be given time," says Kitenge.