"Erling will be out, we'll be without him for a couple of weeks even," Rose told a news conference.
"He has a hip flexor injury which simply doesn't make it possible for him to play. It's the same thigh, but another location."
The 21-year-old posted a message on his social media account on Friday which read: "Time to focus on my recovery. I'll be back stronger!"
Time to focus on my recovery. I'll be back stronger! 🔜💪🏻 pic.twitter.com/G5Ez5bohTv— Erling Haaland (@ErlingHaaland) October 22, 2021
Dortmund's next game is at Arminia Bielefeld on Saturday, and then the Champions League return match with Ajax at home on Nov. 3.
"Erling was really down yesterday because he was happy to be back again," Rose added. "That he is out again is not good for us, it's not great for the lad, but Erling will get all the support he needs from the club, from the team."
Haaland missed Norway's last two World Cup qualifying games with his earlier injury, and the national team is back in action next month against Latvia and the Netherlands.