Webb shot a 5-under 66 that included eight birdies, four of them coming in a row on the back nine. She nearly eagled the par-5 18th, hitting the stick with a sand wedge before tapping in to run her three-round total to 10-under 203.
"I didn't hit my driver as well as I'd like," said Webb, who is gunning for her 28th tour win. "But I still hit, probably, 14 greens. So I really didn't put myself in too much trouble when I missed the fairway.
"I putted really well today. As the day went on, the hole looked bigger and bigger on every green. That's a good feeling."
After wasting the first-round lead with a 2-over 73 Friday, Teske's bogey-free round matched her career best from the 2001 Sybase Big Apple Classic. She closed with consecutive birdies on the finishing par-5 holes.
"Today, I hit it well and putted well, too," said Teske, who is looking for her second win of the year. "I was rolling the ball pretty well and seeing the lines a little bit better, so that makes it easier. Once you get a feel for the putt, it's a lot easier to make."
Also in contention is Bauer, 22, who shot her second straight 67. She won four times last year on the Futures Tour, but playing alongside Webb in the final round will be more of a challenge.
"I will enjoy tomorrow," said Bauer, who is 34th on the money list. "I will enjoy the experience and see where it gets me."
Teske remembered the night before her first tour win.
"I was nervous. You're thinking about it all the time," she said. "And, obviously, with the caliber of players out here on tour, you know you've got to come out and play well."
Among those still in the chase was Heather Bowie, who birdied three of the last four holes en route to a 66 that left her at 8-under 205, two shots back. She was one shot in front of Kelli Kuehne and second-round leader Laura Diaz, who shot a 1-over 72 to tumble out of the top spot. Diaz is looking for her third win of the year.
Swim Week Miami Beach 2014 [PHOTOS]