The pair sustained injuries in the loss to Chelsea last Sunday.
Asked about Lucas and Bergwijn, Nuno said: "Yes unfortunately they will not be with us."
Pressed further on Bergwijn's condition and if he would be fit to face Arsenal this weekend, the Portuguese added: "He has an injury on his foot, a sprain, he twisted his ankle.
"It's very, very painful and the decision was to protect his foot and at the same time keep doing upper body workouts and try to maintain as fit as possible. But the injury needs to settle down and prevent him from feeling pain. It's very painful now.
"I cannot answer [if he will be fit for Arsenal]. All the injuries have a process. We hope the players improve. We don't enjoy it. It is painful to see them out. But at the same time we're hopeful they recover sooner or later and can re-join the group."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!