The clinic serves thousands of women, many of whom are on public aid.
The group says they will continue to fight the closing.
"We are entitled to these benefits in this community. We are the residents here. We have health care rights and none of us plan to go without a fight," said Debra Taylor, Southside Together Organizing for Power.
The University of Chicago says the clinic is losing too much money and that the main hospital will continue to treat severe, complex and emergency cases, regardless of a patient's ability to pay.