Current North Carolina law regarding the date of the presidential primary says it should be one week after South Carolina’s primary. The South Carolina presidential primary date isn’t set yet, but it is extremely likely to be in mid-February, so if North Carolina’s legislature does nothing, the North Carolina presidential primaries will be in late February. However, no state except New Hampshire and South Carolina is permitted by party rules to hold a presidential primary earlier than March 1.

North Carolina House members want to pass a bill (not yet introduced) moving the presidential primary to the first Tuesday in March, but if the Senators won’t agree, that bill won’t pass. See this story. UPDATE: here is a CNN story.