My Green Card expired in April, however in February I applied for renewal, and it was extended through November. I am travelling overseas and returning on November 28th. Since I have not yet received the new Green Card, could I have problems entering the US with a Green Card that is about to expire two days later?
I just realised this question had no answer. Since I returned with no problem, I am going to post as an answer my own experience.
Yes, returning caused no problem, my green card was still valid (albeit for just a couple more days) and I came in with no issue. A month later I finally received the replacement.