The Brazil international is to miss the EFL Cup tie with Nottingham Forest in midweek, as well as Premier League games against Stoke City and Manchester City, after being shown his first red card in the English top flight against Arsenal.
Conte turned to Christensen to strengthen the Blues' backline in the stalemate with the Gunners, rather than £29m summer signing Antonio Rudiger, and the Italian has hinted that he will do likewise for his side's upcoming league fixtures.
"Yes [I am confident we can cope]," he told reporters. "Christensen is a very young player but I think he is a good player and I trust him. Now he has the possibility to play and now he has to prepare very well to play."
Christensen, who spent a couple of years on loan with Borussia Monchengladbach in the Bundesliga, has been used four times in the Premier League so far this term.