On Saturday, they were obviously thrilled to see him still on the board at number 43, more than seven hours after the draft began.
"He had an exceptional college career," Giants coach Tom Coughlin said. "We had our eye on (him) for quite some time."
New York acted swiftly and addressed its biggest need position – cornerback – solidifying its defensive backfield by selecting the speedy, sure-handed LSU corner.
Webster played through multiple injuries during his senior campaign, including a sprained knee and bum foot, which obviously led to his slipping in this year's draft. Yet he only missed one game. "He played hurt all year," Coughlin said.
"You have to like his toughness to play through injuries like that," Giants director of player personnel Jerry Reese added.
Webster put concerns about his injuries to rest after working out for scouts on LSU's campus March 31. But it left the Giants with mixed emotions.
Reese was so impressed by Webster's exceptional workout that he walked off the field thinking the Giants had no chance to land the 6-0, 204-pounder.
"He was spectacular at his workout," Reese said. "He looked outstanding."
Webster, who was recruited as a receiver and caught seven passes as a freshman, has an innate ability to intercept the ball – something that's been lacking among members of the Giants secondary for years. Webster picked off seven passes in consecutive seasons and finished second in LSU history with 16 career picks.
"He's an outstanding tracker of the ball," Giants GM Ernie Accorsi said.
Coach Tom Coughlin said Webster had "outstanding hands," and that the club had him rated as a first-round talent.
Despite the high ratings last spring, Webster opted to stay in school and graduate.
"I stayed to further my education and earn my degree," he said. "There was no rush or anything."
The Giants hope he follows the fast track to the next level, most likely as an outside corner.
"With that ball-tracking ability and speed he could play anywhere," Accorsi said.
Giants corner market with LSU's Webster in second
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