He has struggled to hold down a permanent place in Bordeaux's starting lineup but has still bagged five goals to steer the club up to seventh in Ligue 1, and 90min has learned Chelsea scouts have been seriously impressed with the 20-year-old's performances.
His finest moment in a Bordeaux shirt came in a recent 6-0 win over
The Blues have been scouring Europe to try find a young striker capable of providing competition for Abraham, who has bagged 11 Premier League goals in his first season as Chelsea's first-choice forward.
London-born Maja could now be offered the chance to return to his hometown in January as the Blues look to bolster their squad and bounce back from a challenging run of form which has seen them lose four of their last five league games.
Despite their miserable form, Chelsea remain fourth in the league table, but their lead in the race for the top four is in real jeopardy.
Outside of Abraham, the Blues' forwards have struggled for goals this year. Both Mason Mount and Christian Pulisic have struggled of late, so scouts are eager to find some much-needed firepower to help them remain in the hunt for Champions League football.