The English centre-forward was not in the squad as his side defeated Manchester City in the FA Cup semi final on Saturday.
Abraham has played a bit part role for the team since the arrival of manager Thomas Tuchel midway through this season.
And according to Sky Sports, several Premier League clubs want to sign the 23-year-old, and he is open to leaving.
Abraham wants playing time, and would be happy to get it through a loan or permanent move in the coming transfer window.
A product of the Blues academy, the 23-year-old has scored 30 goals in 80 appearances for his boyhood club.