The 18-year-old is highly rated at Stamford Bridge and was part of Xabi Alonso’s squad for their pre-season tour, featuring in the 6-4 win over Western Syndey.
Emenalo has since returned to the UK and travelled to Glasgow to hold talks and view the facilities at Celtic Park and their Lennoxtown training ground.
According to Sky Sports, a deal that would see him head to the Scottish champions on loan for the coming season is advanced.
Celtic are looking for a youngster to provide cover for first choice left-back Kieran Tierney and have proposed the job-share role to Emenalo and his representatives.
With first-team opportunities set to be at a premium with Chelsea due to the lack of European football, Emenalo is keen on the chance to prove himself.