The 30-year-old is a long-standing target of Cottagers manager Martin Jol, who has attempted to bring in the Dnipro midfielder on several occasions before.
Boateng's transfer had to be put on ice previously due to contract disputes with his Ukrainian club, but a deal now looks to have been struck.
The former Getafe, Cologne and Beitar Jerusalem midfielder took to Twitter to post a photo of himself holding a Fulham shirt at the club's Motspur Park training ground, with the comment "I'm finally happy!!!"
In an earlier post, Boateng tweeted: "I have signed a two-year deal with Fulham FC! I'm happy to see this deal confirmed! Thanks God, my family and everyone who support me!"
Fulham have yet to officially confirm the move.
Source: PA
Source: PA