The Blues are looking to secure a £40 million fee for the forward, who has been linked with Roma, Arsenal and Atalanta
Chelsea manager Thomas Tuchel has admitted Tammy Abraham is "not happy" over a lack of playing time, but refused to comment on speculation that a move to Roma is imminent.
Abraham saw his playing time greatly diminished after Tuchel's arrival last term, and his minutes are set to be reduced even further by Romelu Lukaku's impending arrival from Inter.
Amid reports Abraham could be set for a move to Roma, Tuchel opted to keep mum on the 23-year-old's future.