Beck, 18, hit .590 with 12 home runs and 38 RBIs in his senior season. He was seen at the Coliseum earlier this month taking batting practice in front of several members of Oakland's front office.
Oakland also holds the No. 33 and 43 Draft picks on Monday.
The Draft continues on Tuesday with Rounds 3-10. The MLB.com preview show begins at 9:30 a.m. PT, with exclusive coverage beginning at 10 a.m. PT.