It sounds like you are running a program in the background that is
periodically checking for Internet access and that's when you get the
message.

Try clean boot troubleshooting to determine what this is and then either
configure that program to work off line or not load at Startup or uninstall
it.

How to Perform Clean-Boot Troubleshooting for Windows 98
http://support.microsoft.com/?kbid=192926

PattyL

"alibeave" wrote in message
...
I had a cable modem hookup on my computer for internet service. I have
since
disconnected the computer from the internet. However, every few seconds
I'm
still getting a dialogue box asking me if I want to connect or work
offline.
Even after I click "work offline", it pops up again every few seconds.