Togo's sports minister El Hadj Fofana said Adebayor has still not confirmed he will play but he is "optimistic" the Spurs star will make himself available.
The minister also confirmed Adebayor was currently in Ghana, where the Togolese squad was in a training camp, after a meeting with Togo president Faure Gnassingbe about his participation.
Adebayor had initially refused to play at the competition because of security concerns and disagreements with the Togo football federation over bonus payments for players.
"I do not think that he will continue dragging his feet," Fofana said. "As far as I am concerned, his presence in Accra where the national football team is based for its preparation shows that he has come back."
The situation will be clarified on Wednesday when all the competing teams must name their squads.
Adebayor temporarily retired from international football after a gun attack on Togo's team bus at the 2010 Africa Cup of Nations tournament in Angola. Two members of the Togolese party were killed.