Baningime grew up in the Lemba district of Kinshasa.[3] He left at the age of 8, after his father, who was working as a doctor in England, moved the family to Wigan.[3]
In January 2019, he was loaned to Wigan Athletic until the end of the season.[10]
On 1 February 2021, Baningime joined Championship side Derby County on loan for the remainder of the 2020−21 season, reuniting with former Everton teammate Wayne Rooney who is manager.[11] Two days later, he made his debut for the Rams as a substitute for Graeme Shinnie in a 0–3 away league defeat by Rotherham United.[12]