The Rovers chief stripped Samba of the captaincy after the player revealed that he wanted to leave Ewood Park in protest at the way previous boss Sam Allardyce was sacked earlier this month.
However Kean has now revealed that Samba, who missed the Boxing Day defeat against Stoke and Tuesday's 3-1 win at West Brom due to an ankle injury, has spoken with him to not rule out the prospect of staying put beyond the January transfer window.
Kean, who watched Samba work hard to try and pass a fitness test at the Hawthorns, said: "He pushed himself for 35-40 minutes but he still felt his ankle. He was gutted.
"I'm convinced he will be fit for Sunderland [on January 1] and I am delighted to say he does not want to hand in that transfer request.
"He is happy to see how things develop in the transfer market and he is starting to think about staying at the club, which is a bonus for us."
Kean added: "I never felt there was a rebellion or that anyone didn't want to play.
"I think for Chris, what was said was if another club came in for him then he would look at it.
"He might have been misquoted. He assured me he never said he wanted to leave.
"He didn't put in a written or verbal transfer request and I am very encouraged."