How can I prevent the AT&T update software from using my 4G connection? Is there any way to prevent the AT&amp;T update software form using my 4G connection (i.e. using Wi-Fi only when available)?

By default it seems to use the 4G connection when there's no Wi-Fi connection, as the screenshots below show. I use Samsung I9300 Galaxy S III with a rooted Android 4.1.2.









Following saloalv's answer, I tapped on "Android OS" (which is the process listed as being the one who used my 4G connection): I don't see any "restrict background data" option.





I do see the "restrict background data"  option for other processes though:
Open data usage in settings, tap on AT&amp;T software update, scroll down and tap "restrict background data".