Here is the Section 40 part (e) of the Public Act 098-0063:
(e) Nothing in this Act shall prohibit a non-resident from
transporting a concealed firearm within his or her vehicle in
Illinois, if the concealed firearm remains within his or her
vehicle and the non-resident:
(1) is not prohibited from owning or possessing a
firearm under federal law;
(2) is eligible to carry a firearm in public under the
laws of his or her state or territory of residence; and
(3) is not in possession of a license under this Act.
If the non-resident leaves his or her vehicle unattended,
he or she shall store the firearm within a locked vehicle or
locked container within the vehicle in accordance with
subsection (b) of Section 65 of this Act.