Many retail pharmacies are expected to receive vaccine this month.
Some places already started offering vaccinations to anyone on a first-come first-served basis. That includes Walgreen's pharmacies in Chicago, and the Cook County Department of Public Health.
Walgreen's hopes to expand that statewide by the end of the week.
Cook County's health department vaccinated 320 people at its first shopping mall swine flu clinic Saturday in Calumet City; with 80 doses left over. It plans more mall clinics early next week and in the week before New Year's.
The Associated Press contributed to this report.