The Sun-Times says that's the recommendation from a spokesman for the Cook County Sheriff's Office, which provides security for courtrooms at the Daley Center.
Thousands of protesters are expected to march through Daley Plaza when world leaders meet in Chicago May 19-21.
There are safety concerns for judges, jurors and attorneys. No final decision has been made.
Cook County Sheriff's Department spokesman Frank Bilecki says the protests also could have an impact on transportation, making it difficult to get to the Daley Center.
Protesters have applied for a permit to hold a massive march on May 19 from the Daley Center to McCormick Place.
The Associated Press contributed to this report.