The 13-year-old was walking in the 3400-block of North Osage Avenue at about 4 p.m. when police said a man in an SUV approached and said "Hi."
The girl continued walking toward Hiawatha Park when the man approached again asked her if she wanted a drink and offered her a ride. She ignored him went home and told her parents.
The man was described as being heavily wrinkled with a slim build, dark hair and brown eyes and wearing a gray shirt and navy blue baseball cap. Police said he was driving a small navy blue SUV with white lettering on the rear window listing a website.
Anyone with information is asked to contact Area North detectives at (312) 744-8266.