Fulham boss Martin Jol has attempted to sign the 30-year-old midfielder on several occasions before and may have finally landed the Ghana international.
Boateng is believed to be one of the unnamed players Jol said a deal had been agreed with at his pre-match press conference last week.
And the former Getafe, Cologne and Beitar Jerusalem man is set to be confirmed on a two-year deal at Craven Cottage.
Fulham thought they had concluded a deal in January, when they won a work permit for him, but the transfer was put on hold earlier this year because of a contract dispute between Boateng and Dnipro.
But Boateng is now a free agent after he took his case to the Court of Arbitration for Sport (CAS) and they ruled in his favour - freeing him to finalise a deal.
Sky Sports revealed in April that Fulham had revived their interest in Boateng, having failed to finalise a deal in January.
Fulham have already confirmed that a deal has been agreed with full-back Sascha Riether, who is to move to west London permanently after impressing during a loan stint.
Athletic Bilbao defender Fernando Amorebieta is also arriving on a free transfer this summer, whilst Roma goalkeeper Maarten Stekelenburg and Wolves midfielder Bakary Sako have also been linked with the Craven Cottage club.