In the past month I noticed that the cruise control indication stays on at the start for over a minute before it cuts out. During that time the cruise control on/off doesn't respond. After a minute or so the indication goes off and the system works when needed, no problem. Happens occasionally (1 of 3, 1 of 4).

Any idea why this might happen?

Spring time in San Diego. Driving around with the windows down today.

 

Check the below link to see if they help you ?
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Chevrolet Monte Carlo Questions - Im trying to figure out what is wrong with my 2001 chevrolet monte car... - CarGurus



Chevrolet Impala Cruise Control Units | eBay

 

Do you notice when the cruise stays lit up if either the blower doesn't work, or if the overhead driver info center is inoperable also?
Reason I'm asking, I had an 03 ss that did those symptoms at random. I noticed the cruise first, then blower, dic center overhead. Might do it once a week or once a month for a long time. Finally started being more common and knew just a matter of time before it do it non stop. Turned out to be bad ignition switch. Not the key cylinder, just electrical part.
Good news, not expensive, and can diy in 30 minutes or less.

 

I replaced the ignition switch today! $65 at O'Rielly's. It took me three hours; 2 hours 45 min to take the molding off and on and 15 min to swap the switch. We'll know tomorrow if I did more damage than good. Some of those wires are awfully stiff. Everything was working when I finished a few minutes ago.

 

Lol, yea that molding is tricky to remove if you never did it before. But if ever you have to remove it again at least it you have it figured out.