The Frenchman is yet to make his Eredivisie debut since moving temporarily in the summer and his current manager has warned him to improve his attitude if he wishes to play
The France Under-21 midfielder was due to make his Eredivisie debut at the weekend against NAC Breda, following an injury to Renato Ibarra, but was left out of the side as punishment for his lateness in reporting to training.
"Normally I'm easy with these things and I would warn him again," Rutten told reporters. "But this was the third time already.
"That's not smart of him. I've warned him before and this time I left him at home."
Kakuta, who joined Chelsea in controversial circumstances in 2007, is not expecting to remain at Stamford Bridge much longer, despite having signed a four-and-a-half-year contract extension in 2010.
The 21-year-old midfielder has spent the majority of his Chelsea career out on loan with various clubs and believes that his time with the European champions has come to an end with France his preferred destination.
Speaking to L’Equipe in August, Kakuta said: "My decision is final. This is an important time in my career. It’s better for me to leave the club [Chelsea] and find one where I could play more matches. I need to play.
He added, "In hindsight, I think the Ligue 1 will do me good. Marseille are one that I like. In France, Marseille is up there with Lille and Lyon, two of three clubs that I’m interested in most."