[cnn-photo-caption image= http://i.cdn.turner.com/cnn/2008/images/05/12/art.clintonpolls.ap.jpg caption="Clinton holds big leads in the next two states."](CNN) - Even as her campaign appears to be in its final stages, Hillary Clinton is headed for two sweeping victories in West Virginia and Kentucky, the next two states to weigh in on the prolonged Democratic presidential race.
According to new polls released Monday, Clinton holds a 34 point lead in West Virginia and a 27 point lead in Kentucky.
In West Virginia, which votes Tuesday, a Suffolk University Poll has Clinton drawing 60 percent of likely Democratic voters compared to Obama's 24 percent. That poll also shows Clinton holds a 70 percent approval rating among West Virginia’s Democratic primary voters. Only half the state’s primary the state’s likely primary voters think Barack Obama can beat John McCain in a general election matchup.
In Kentucky, a Research 2000 poll shows Clinton winning 58 percent of the vote to Obama's 31 percent. But despite Clinton's strength in the state, the poll suggests John McCain would easily defeat both Democrats in November - the Arizona senator holds a 25 point advantage over Obama and a 12 point lead over Clinton. Kentucky is considered a solidly Republican state, though former President Bill Clinton carried it twice. The state's primary is May 20.
It remains unclear how Clinton's likely large wins in both states will affect the presidential race, given Obama's significant lead in total delegates. Only 28 pledged delegates are at stake in West Virginia Tuesday, while 51 are up for grabs in Kentucky.