Leeds revived their hopes for a top two finish but had to work hard to hold off a late Yeovil revival.
The Leeds' hero was skipper Richard Naylor, who moved up from the back to head them in front in the 28th minute - the Yorkshire club's first goal for almost seven hours.
The central defender also got his head on the end of a Neil Kilkenny corner to head a brilliant second goal six minutes later.
It looked all over for Yeovil, especially as Leeds dominated the second half, with Naylor almost completing a hat-trick when a header in the 57th minute was cleared off the goalline by Scott Davies.
But Yeovil refused to lie down and in the 66th minute Dean Bowditch picked up a pass from Gavin Williams and held off a defender to slide the ball past visiting goalkeeper Shane Higgs and in off the far post.
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