Having come through the youth ranks of Entente Cergy-Osny-Pontoise,[1] Loubaki joined the Paris-Levallois youth set-up in 2010. He won the 2012 French national junior championship with the club[2] and subsequently enrolled at INSEP, the French National Institute of Sport, expertise, and performance. Loubaki played in the 2013 Jordan Brand Classic International Game,[3] scoring 10 points.[4] In 2014, he garnered MVP honors at the Basketball Without Borders Europe Camp in Rome.[5] As a member of the INSEP squad, Loubaki competed in the third-tier league NM1 and graduated in 2015. In his final season at INSEP, he averaged 9.7 points, 2.4 rebounds, 2.1 assists and 1.8 steals a contest in NM1 play.[6]
In July 2015, Loubaki signed his first professional contract, a five-year deal with Orléans Loiret Basket of the French top-flight LNB Pro A.[7] He was an early entry candidate for the 2016 NBA draft, but removed his name from the list.[8]
He inked with AS Monaco Basket prior to the 2017-18 season.[9]
On April 18, 2019, he has signed contract with Lille Métropole of the French LNB Pro B.[10]
On July 15, 2021, he has signed with Boulazac Basket Dordogne of the LNB Pro B.[11]
He was part of the French junior national teams on several occasions, including the 2013 U16[12] and 2015 U18[13] European Championship as well as the 2014 U17 World Championships.[14]
