The couple quietly separated a few months ago, the French footballer's spokesperson confirmed to MailOnline.
The 31-year-old France player and his estranged Welsh wife, 36, have three children together, and one each from previous relationships.
The football player has been seen hitting the town solo since the split, including celebrating his 31st birthday in August without his estranged wife by his side.
Jude is currently in Los Angeles and has been spending time with her celebrity friends as the story of their divorce breaks.
On October 2, she tweeted she had left her four children in the care of their fathers while she went on holiday: 'Why do we have 2 ask the dads if they can look after their own children!! Yes I'm here, just trying 2 come 2 terms with things.'
In September, she sent a series of cryptic tweets, including: 'What lies behind us & what lies before us are tiny matters compared to what lies within us.'
Twenty-fours later, she tweeted: 'Remember Without communication there is no relationship; without respect there is no love; without trust there's no reason to continue.
'Without pain, there would be no change. remember, pain just like everything in life, is meant to be learned from & then RELEASED.'
On the same day, her estranged husband wrote on his Twitter: 'Some people have to learn to shut up and look at themself (sic) before talking about others.'
She was spotted at the weekend with The Saturdays' Frankie Sandford, 23, and ex-Hollyoaks star Ricky Whittle, 30, who she counts as one of her best friends.
Djibril and his wife met in a Liverpool nightclub and later wed in 2005 at Bodelwyddan Castle in Wales, with the sports star wearing a Liverpool red tuxedo.
The couple had a lavish £100,000 ceremony which was attended by Queen's Park Rangers player Shaun Wright-Phillips and Cissé's French national teammates Louis Saha and Sylvain Wiltord.
In January 2006, Djibril was cautioned for assaulting Jude at their Cheshire home.
The couple have three sons together Cassius, six; Prince, four; and Marley; two.
Former college lecturer Jude also a teenage son Liam, 18, from a previous relationship, while Djibril is father to daughter Ilona, 11, with an ex-girlfriend.