Roma have reached an agreement worth €40m with Chelsea for the transfer of Abraham.
It is also added that the English striker would travel to the Italian capital tomorrow to have his medical.
Abraham has been heavily linked with a move away from Stamford Bridge while Arsenal and Atalanta were thought to be the frontrunners to sign him.
However, Roma moved ahead in the transfer race after showing strong interest of late, with the club chief Tiago Pinto reportedly travelling to London to hold talks with Abraham and his agent.
Roma manager Jose Mourinho also played a key role for the transfer to come into fruition as he was keen on joining hands with Abraham.
The Blues have also inserted a buyback clause of a whopping €80m but it can be exercised only after two seasons.
The 23-year-old will earn around €6m a year at the Italian capital club and the €40m transfer fee would be paid in instalments.
Abraham appeared to be untouchable under Frank Lampard and also enjoyed a productive 2019/20 season, racking up 15 goals in the Premier League.
However, the former Aston Villa loanee has fallen down the pecking order of Thomas Tuchel, who took over at Stamford at the start of this year.
Abraham’s chances of survival further withered after it was reported that the Blues were in the market for a new striker. Now, they have signed Romelu Lukaku for a whopping £97.5m.
Elsewhere, Mourinho is working on the reinforcements ahead of the new Serie A season and the Portuguese gaffer would look to make Giallorossi a top-four contender.
Abraham would be taking the place of Edin Dzeko, who has reportedly agreed to join fellow Italian club Inter Milan.
Mourinho has worked with a plethora of elite strikers during his career and he can help Abraham Abraham become one such.