No change in polling over the weekend.  It's likely to win only because people don't understand it, according to PPP:

Our final marriage amendment poll finds it leading by a 55-39 margin, little change from a week ago when it was ahead 55-41. The final yes percentage will likely be somewhere in the 57-59% range depending on how the undecideds break. Opponents of the amendment had an uphill battle in convincing voters that it was anything other than a referendum on gay marriage, even though it does go a lot further than that. 57% of voters in the state think gay marriage should be illegal (to only 34% who think it should be legal) and it's not a coincidence that number correlates so closely with the 55% planning to support the amendment. 

In some sense North Carolinians are voting against their own beliefs. 53% of voters in the state support either gay marriage or civil unions, yet a majority also support the amendment that would ban both. The reason for that disconnect is even with just 24 hours until election day only 46% of voters realize the proposal bans both gay marriage and civil unions. Those informed voters oppose the amendment by a 61-37 margin but there may not be enough time left to get the rest of the electorate up to speed.

Emphasis mine.