Thomas was formerly a standout corner for Pete Carroll's USC Trojans and was drafted in the 2nd round of the 2008 Draft. For the most part, he had played well when he managed to stay healthy, but knee injuries derailed what looked like a very promising career. He missed both the 2011 and 2012 seasons and has now torn his ACL three times (including one in college). While he was able to play in all 16 games last year for the Giants, teams were and are obviously leery about his ability to stay on the field. As a vested veteran, he's now free to sign with any team. Thomas hadn't looked great playing in the slot for the Seahawks.
Jeffcoat was a guy that Pete Carroll had recruited heavily to USC as a prep, and he was a guy they thought would eventually end up as a "number one" pick when he would head to the NFL. Seattle gave Jeffcoat a $15,000 signing bonus to come here as a UDFA, which is a pretty hefty chunk of their $80,000 budget.
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