Born in Ivory Coast, but raised in Mali, Bissouma started his career at the Majestic SC academy in 2009, where he played with Adama Traoré. In 2014, he joined AS Real Bamako.
On 7 July 2016, four months after having arrived at Lille OSC from AS Real Bamako, Bissouma signed his first professional contract with the club, with a duration of three years.