I am sorry but that is incorrect.
Per Wiki:
Shortly afterwards, the US VII Corps, in full strength and spearheaded by the 2nd Armored Cavalry Regiment, launched an armored attack into Iraq early on 24 February, just to the west of Kuwait, taking Iraqi forces by surprise
I was wrong. I apologize. thank you. noted.
https://gulfwar1991.blogspot.com/2010/11/ground-campaign-of-persian-gulf-war.html
....agree....! this is from another historical web site
on this subject; clearly, we WERE “...advancing into Iraq”.....
“On January 16, 1991, President George H. W. Bush announced the start of what would be called Operation Desert Storm—a military operation to expel occupying Iraqi forces from Kuwait, which Iraq had invaded and annexed months earlier. For weeks, a U.S.-led coalition of two dozen nations had positioned more than 900,000 troops in the region, most stationed on the Saudi-Iraq border. A U.N.-declared deadline for withdrawal passed on January 15, with no action from Iraq, so coalition forces began a five-week bombardment of Iraqi command and control targets from air and sea. Despite widespread fears that Iraqi President Saddam Hussein might order the use of chemical weapons, a ground invasion followed in February. Coalition forces swiftly drove Iraq from Kuwait, advancing into Iraq, and reaching a cease-fire within 100 hours—controversially leaving Saddam Hussein in power. While coalition casualties were in the hundreds, Iraqi losses numbered in the tens of thousands.”
You are right. I was with VII Corps and we were definitely in Iraq in that conflict.