Samba was stripped of the captaincy by Kean prior to the Boxing Day defeat by Stoke after reportedly saying he wanted to quit in protest at the handling of former boss Sam Allardyce's recent departure.
The Congo international missed the Stoke clash and Tuesday's 3-1 Barclays Premier League win at West Brom with an ankle injury but Kean has cleared the air with the player.
Kean feels Samba showed enough determination in a fitness test earlier on Tuesday to prove he has no intention of leaving.
Kean 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."
Source: PA
Source: PA