Assistant manager Neil McDonald has said there is no way the Senegal international could fly to the tournament which has reportedly caused some upset among those at the Senegalese FA, with reports suggesting they would try to stop him playing for the Hammers for the duration of the tournament should he recover from his back injury.
McDonald was also quizzed about Alex Song's retirement from international football ahead of this weekend's game against Swansea, and was predictably delighted.
He told reporters: "Sakho got injured against West Brom, there's no way he can fly. He's probably going to miss the Africa Cup of Nations and we're going to miss him too because he's injured.
"It's great news for us that Alex Song wands to concentrate on his club football. He's thinking about his long term future domestically and we.re looking forward to having him back."
There is a slight injury concern regarding Andy Carroll who missed the 1-1 draw with Everton at Goodison Park in midweek.
McDonald said: "Hopefully Andy's cut on his finger won't stop him being available on Saturday!"
With West Ham currently sitting in seventh place in the Premier League, despite not winning their last four games in all competitions, the Hammers remain in a healthy position.
McDonald added: "We've got 32 points on the board so we'll set our sights a little higher. We want to push on as much as we can.
"The squad's really, really fit and everyone warns to be in the team so we'll cope with the amount of games.
"We've got a fully fit squad to choose from apart from Diafra with his injury and Cheikhou who's away with Senegal."