Can the daughter of one's slave (fathered by another man) be made a concubine?

Assalamu Alaikum wa Rahmatullahi wa Barakatuh, I have a question regarding the Islamic legal perspective on concubinage: If a man has a female slave and he marries her off to another slave, and she gives birth to a daughter, now we know she is the daughter of the slave but her ownership will belong to the master. So, can the young girl be taken as a concubine by the master? Jazakum Allahu Khayran.