Although President Obama is ahead in key swing states, a new NPR News poll shows the race is a virtual tie nationwide with just one week until Election Day.

In 12 battleground states highlighted in the poll, Obama leads by 4 percentage points at 50 percent support. Nationally, however, Mitt Romney is up by 1 point among likely voters at 48 percent. Three percent are still undecided.

The last time the NPR poll came out—on Oct. 3, the morning of the first presidential debate—the poll showed Obama with a seven-point lead over the Republican nominee, 51 percent to 44 percent. …

Romney also saw major gains among independent voters, now leading Obama 51 percent to 39 percent nationwide.