The Leeds centre-back is happy to play alongside the 23-year-old.
The January loan signing, who has been terrific since moving to Elland Road - particularly shining during Saturday afternoon's 1-0 win at Middlesbrough - will have to partner Cooper with Giuseppe Bellusci suspended heading into Tuesday's trip to Brighton and Hove Albion.
And Bamba, 30, says he is more than happy to play with the Leeds man he rates just as highly as the Italian.
"I've played with him before and he's a good player, he's the captain of the club as well and I'm happy to play with both of them (Cooper and Bellusci)," he said.
"We just want to keep having good results and keeping clean sheets."
Bamba also commented on the Leeds United captaincy, with the 30-year-old having captained the side at Middlesbrough but Cooper being the club's overall captain.
According to Bamba, he has no issue with the 23-year-old retaining the armband should boss Neil Redfearn hand it back to him for Tuesday night's clash.
He added: "It's absolutely no fight (for the captain's armband)! The manager is going to decide. For me, Cooper is the club captain so it's no problem if he's the captain next week."
Bamba was one of the standout stars for Leeds as they beat Middlesbrough and hurt their promotion bid.
Goalkeeper Marco Silvestri was voted the Yorkshire side's man of the match, while several other young stars impressed for Redfearn's side. More of the same will be welcome at Brighton.