1 month is a long stretch. From my experience, anywhere from a couple days to a week. Build quality links to your site while you wait.
For example, my money site was on page 5 for my main keyword, and then I figured I wanted to rank for my new secondary keyword which I never placed in my title tag and content. So I altered the title tag and content of my site to include this keyword and when G re-crawled my site, it dropped down to page 7. I just said whatever and kept building my quality links. That was about 3 days ago. From this morning, it's sitting at page 4. Mind you it's a very tough niche too. So yeah, just keep building great links and relax.