I was curious about that but never had a chance to test that. But recently the ejector spring broke on my Remington 870 and that was a good opportunity to test the shotgun without the ejector spring.

Remington 870 Work Without the Ejector Spring

Remington 870 Work Without the Ejector Spring

It will work! The shotgun was working properly but with much bigger chance of the stove pipe problem. I had a stove pipe for about each 5-10 shots. So yes, you can still use your shotgun with broken ejector spring in an emergency situation but you need to replace the ejector spring as soon as possible.