Nordtveit broke his nose against Stuttgart on Sunday, while Favre said that the match might come to soon for Martin Stranzl, who has recently recovered from illness.
"Havard had an anaesthetic on Monday. We'll have to see whether he can train and possibly play on Friday," Favre told reporters.
"Martin's been out for a while and had to take antibiotics. We'll decide on Friday whether he's fit again."
Gladbach are currently seventh in the Bundesliga.