Jacquie Carman, vice principal, said more than one pupil had tested positive but could not confirm the exact number.
She said: "We refer to our college as a community because we take every effort to be open and transparent about the situation here but we preserve and protect pupils' privacy.
"To my knowledge no member of teaching staff has tested positive for Covid-19.
"We have very rigorous standards, if anyone has been contacted to isolate we ensure they do, if anybody feels unwell, staff or students, with any symptoms, we request that they don't come to college and seek a test and follow the advice from Public Health England."
The college posted on its website on September 17 saying there has been a confirmed case and they have informed staff and students who have been in close contact who will need to self-isolate.
On the website it says: "We can confirm that we have a confirmed case of coronavirus at Halesowen College. We have responded quickly and taken action in accordance with the guidelines for education and the advice of Public Health England.
More Covid-19 coverage:
"We are in close contact with our local health protection team to ensure we inform all staff and students who have been in close contact. Identified contacts will then commence a 14-day self-isolation.
"Halesowen College remains open. Staff and students should attend as normal. To ensure we continue to make our college environment as safe as possible please do not attend if you have any symptom of Covid-19.
"Whilst on site please continue to maintain excellent hand and respiratory hygiene and appropriate social distancing."