EmDo End game Variant

I'm considering a slightly different end game dynamic for the expansion, which could be used as a variant for the standard game as well:

When the game end triggers, finish out the round as normal, then play 1 full round.

This way all players will know for a fact whether it's their last turn or not. I'd love to hear your thoughts on this.

4/29/12 Update: The more I play this variant, the more I dislike it for 2 players. I think it's a good idea for 3-4 players though. I do not know if it'll end up in the rulebook or not.