The attack in the western Washash neighbourhood took place late last night, two police officers said. The bomber had mingled with the cafe crowd and set off his explosives-laden belt as they watched the game.
A medical official confirmed the casualty figures. All officials spoke on condition of anonymity because they are not authorised to talk to the media.
Iraq has been struck by a surge in violence unseen since 2007, relentless attacks that have become the Shiite-led government's most serious challenge.
Scores of people have been killed in the Iraqi capital, in recent attacks that have targeted busy areas, restaurants and other public places. On Tuesday, a series of bombings struck both commercial streets and security forces in Baghdad and its surroundings, killing 15 people.
No one has claimed responsibility for the latest attacks, but they bear the hallmarks of an al-Qaida breakaway group that frequently uses car bombs and suicide attacks to target public areas such as cafes, restaurants, mosques and markets to undermine the government's efforts to maintain security in the country.