With the Blues set to miss out on John Stones, Jose Mourinho has sanctioned a move for little-known Nantes defender Djilobodji, according to the Daily Telegraph.
The 26-year-old has been with Nantes since 2010, making 169 Ligue 1 appearances. It is thought the Senegal international will act as a stop-gap until Chelsea renew their interest in Everton defender Stones either in January or next summer.
Djilobodji has traveled to Stamford Bridge ahead of his expected move, and will sign a four-year deal with the Premier League champions.
As well as being an adept centre-half, Djilobodji can also play in central midfield.
Chelsea are also reportedly set to offer winger Victor Moses a long-term contract with the club, with the Nigerian moving to West Ham on loan directly after.