Raheem Wilks, the 19-year-old brother of Leeds United's Mallik Wilks, was shot near Too Sharps on Gathorne Terrace, Harehills, on 26 January.
A 30-year-old man has been detained on suspicion of murder, and a 31-year-old woman was arrested on suspicion of assisting an offender.
Both were arrested at an address in Hunslet and remain in custody.
Mr Wilks died in hospital. A post-mortem examination revealed he died as a result of a single gunshot wound to the chest.
Two men have been charged with his murder.
Jaydn Manners, 23, of Louis Street, Chapeltown, and Keal Richards, 21, of Francis Street, also in Chapeltown, were both remanded in custody.
Four men arrested on Friday have been released on bail pending further inquiries.
Two more arrests have been made after a footballer's brother was killed in a shooting outside a barbers in Leeds.