The Bears usually work really fast on getting rookies signed - last year, Alshon Jeffery was the first pick of the 2012 class to sign, and this year is no exception. Not only are they the first team to sign a rookie from this year's draft class, they signed two of them. The Bears announced they have signed fifth-round pick Jordan Mills and sixth-round pick Cornelius Washington to four-year deals.
Mills was originally a right tackle at Louisiana Tech, and while he's a power player that certainly profiles to the right side, some like Wright linked above think he's a guard. Washington played some at 3-4 DE and OLB, but performed at 4-3 DE at the Senior Bowl and brings a strong pass rush to the Bears' defensive line.
The Bears have said they'd like to have all their draft picks signed by May 15th.