(CNN) - New poll numbers appear to bolster Hillary Clinton's argument that she is in a better position to win the crucial general election swing states than rival Barack Obama.
Three new Quinnipiac University polls out of Florida, Ohio, and Pennsylvania show Clinton matching up stronger against McCain than the Illinois senator. In Florida and Ohio specifically, Clinton beats McCain handedly while Obama ties the Arizona senator.
In Florida, Clinton beats McCain by 8 points (49 to 41 percent) while Obama trails by 1 point (44 to 43 percent) In Ohio, Clinton is up 10 points over McCain (48-38 percent) while Obama is again down 1 point. (43 to 42 percent).
Clinton and Obama both beat McCain in Pennsylvania, though Clinton does so by a wider margin. (Clinton bests McCain by 14 points there, Obama beats McCain by 9 points.)
"It’s very hard to think of the electoral map, at least to a democratic victory, without Ohio and or Florida, and Sen. Clinton appears to be in much strong shape in those states," Clinton strategist Geoff Garin said.
The Clinton campaign is hoping the party's superdelegates comes to believe the New York senator has a better chance than Obama of winning the swing states that they say are necessary to capture the White House.
More than 300 superdelegates are expected to make up their minds shortly after the last primary on June 3. Clinton needs to win more than two-thirds of their votes in order to overcome Obama's pledged-delegate lead.