More bad news for the President arrives today in the form of a new CNN poll. The poll, conducted May 29-31, shows the race for President has tightened significantly over the last month. If the election were held today, 49% would vote for Obama and 46% for Romney, which is within the poll's margin of error.

Last month CNN's poll showed the President with a 9-point advantage (52-43%). The high water mark for the President has been 54% in CNN's March poll.

There's more good news for Romney in this poll. He holds a commanding lead among independents who favor him 51%-39% over the President. However, it's not all bad news for the President. CNN says the President's supporters are currently more enthusiastic than Romney's. Six in ten strongly support the President while 47% strongly support Romney.

The internal sampling for the poll isn't available at present, so it's not clear if the sampling of the new poll is identical to previous ones. CNN does note that today's poll was taken before the release of today's disastrous jobs numbers.