The measure, which was delayed from last week, is sponsored by Democratic Sen. Lowe Finney of Jackson and House Minority Leader Craig Fitzhugh of Ripley.
Finney didn't give a reason for the delay.
Meningococcal (meh-nin-joh-KAH'-cul) meningitis can be spread through such contact as sharing drink bottles. Ten percent of people who contract the disease die — sometimes within 24 hours.
Fitzhugh said a Middle Tennessee State University freshman died last year after contracting the disease. He said students who live in close quarters are more susceptible to the disease than others.