The German side have had Christensen, 20, on loan for the last two seasons in which time he has established himself as a crucial component of Gladbach’s defence.
Gladbach have long made clear their desire to keep the centre-back beyond the two years of his loan and they have not been the only side to covet Christensen, with Barcelona and Bayern Munich also monitoring the Danish international.
But Antonio Conte intends to add Christensen to his first-team next season and, at a press conference in which it was confirmed the Foals’ midfielder Mahmoud Dahoud would be moving to Borussia Dortmund at the end of the season, Gladbach sporting director Max Eberl admitted they would not be able to keep hold of their loan star.
"He must go back to Chelsea FC," Eberl said. "Those are the two players [Dahoud and Christensen] that we have to replace in the summer.
"There are no others. And we don't want any others [to leave]."
Christensen has made 74 appearances for Gladbach over two seasons and has 11 caps for Denmark. He will likely not be the only centre-back to join Conte’s Chelsea squad next season, with the Blues targeting the likes of Virgil van Dijk and Kalidou Koulibaly.