BALTIMORE -- The Phillies have been locking up their Draft picks relatively quickly.

• Cast your Esurance All-Star ballot for #ASGWorthy players

They agreed to terms on Tuesday with first-round pick Cornelius Randolph. He will receive a $3,231,300 signing bonus, which was the full value for the 10th overall pick. They also agreed to terms with second-round pick Scott Kingery, a second baseman, on a $1,259,600 bonus, which was full value for the 48th pick.

The Phillies, who have agreed to terms with at least 21 draftees, announced the signing of Randolph on Wednesday. He will be introduced to the media at 5 p.m. ET.

The group of 21 includes fourth-round pick and first baseman Kyle Martin ($200,000), seventh-round pick and RHP Luke Leftwich ($209,300) and eighth-round pick and outfielder Greg Pickett ($350,000). Pickett's bonus was $176,100 more than the amount slotted for the 234th pick, but they needed to pay more for him to bypass college. They saved some bonus pool money with Martin, who received nearly $300,000 under the amount slotted.

The Phillies also agreed to terms with 12th-round pick Skylar Hunter ($100,000) and 20th-round pick Will Stewart ($100,000). Stewart, who is a left-hander, just graduated high school in Alabama.