Any peace officer of a duly organized county, municipal, town, interstate bridge or university peace unit or a law-enforcement officer of the Department of Natural Resources and Environmental Control, but not county sheriffs or their deputies, may carry out fresh pursuit of any person anywhere within this State, regardless of the original territorial jurisdiction of such officer, in order to arrest such person pursued, when there is reasonable grounds to suspect that a felony, misdemeanor, or violation of the Motor Vehicle Code has been committed in this State by such person.