The news agency quoted two anonymous sources it described as having knowledge of the investigation for the claims.
Police have not identified the suspects. But the social media is awash with suggestions that one of the attackers is a British-Nigerian, Micheal Adeboloja.
The two suspects are believed to have murdered a man described as a British soldier. Posing for the cameras, the attackers made political statements linking the murder to Islam and retaliation of Muslims killed by Britain.
The British government considers the attack an act of terrorism and the two attackers have been taken into custody.