The council moved to have the issue addressed at a later meeting when the public would be allowed to make comments on the issue.
The proposed agreement between the town of Chapel Hill and UNC would extend the jurisdiction of the University police into off-campus areas of the town under specific circumstances.
The jurisdiction would only be extended for those crimes that occur on campus.
If a crime is committed on campus, University police currently only can pursue a suspect beyond UNC boundaries during the suspect's immediate flight.
The agreement would remove jurisdictional limitations that have restricted the UNC officers' ability to investigate on-campus offenses involving suspects or witnesses living off campus.
Currently campus officers have to be accompanied by a Chapel Hill officer if they are going to be conducting questioning or follow-up investigations off campus.
Chapel Hill Police Chief Gregg Jarvies said he is in support of extending jurisdictional limits.
"It just does not make sense that the campus police cannot go to a house just off campus to investigate or pursue a crime committed on campus."
But Town Council members Mark Kleinschmidt and Bill Strom both raised concerns regarding the extension of another police force's jurisdiction into the town of Chapel Hill.