| 1 | 3 | June-Reg | Paul Molitor | SS | 20 | 6-0 | 195 | R | R | MLB | 1978-1998 | University of Minnesota | $77,500 |
| 2 | 29 | June-Reg | Kevin Bass | OF | 18 | 6-0 | 180 | B | R | MLB | 1982-1995 | Menlo-Atherton (Atherton,CA) | |
| 3 | 55 | June-Reg | Stan Davis | 1B | | | | | | AAA | | Halifax County (South Boston,VA) | |
| 4 | 81 | June-Reg | Jerry Jenkins | P | | | | | | AA | | Royal (Simi Valley,CA) | |
| 5 | 107 | June-Reg | Michael Breslin | P | | | | | | A- | | Bellaire (Bellaire,TX) | |
| 6 | 133 | June-Reg | Bill Foley | P | | | | | | AAA | | Clemson University | |
| 7 | 159 | June-Reg | Alan Page | 1B | | | | | | - | | Menlo-Atherton (Atherton,CA) | |
| 8 | 185 | June-Reg | Steve Day | SS | | | | | | - | | University of Texas | |
| 9 | 211 | June-Reg | Chris Carstensen | OF | | | | | | A | | Cal State Los Angeles | |
| 10 | 237 | June-Reg | Dave LaPoint | P | 17 | 6-3 | 215 | L | L | MLB | 1980-1991 | Glens Falls (Glens Falls,NY) | |
| 11 | 263 | June-Reg | Mike Henderson | SS | 11 | 5-10 | 160 | R | R | AAA | | Arizona State University | |
| 12 | 289 | June-Reg | Steve Manderfield | p | 17 | 6-2 | 225 | L | L | AA | | Kimball (Royal Oak,MI) | |
| 13 | 315 | June-Reg | John Skorochocki | SS | | | | | | AAA | | Trenton Central (Trenton,NJ) | |
| 14 | 341 | June-Reg | Joe Bob Mitchell | OF | | | | | | - | | Prairie View A&M University | |
| 15 | 367 | June-Reg | Richard Bross | p | 18 | 6-2 | 170 | L | L | - | | Tonawanda (Tonawanda,NY) | |
| 16 | 393** | June-Reg | Larry Groves | p-OF | | | | | | AAA | | Shawnee Mission West (Shawnee Mission,KS) | |
| 17 | 419 | June-Reg | Tim Jordan | OF | | | | | | A+ | | Edward Little (Auburn,ME) | |
| 18 | 444 | June-Reg | Dave Hudgens | 1B | 20 | 6-2 | 210 | L | L | MLB | 1983-1983 | Arizona State University | |
| 19 | 469** | June-Reg | Ron Pisel | p | | | | | | AAA | | Southeastern Illinois College | |
| 20 | 493 | June-Reg | Brian Fisher | SS | | | | | | - | | Tonawanda (Tonawanda,NY) | |
| 21 | 517** | June-Reg | Charlie Beverly | OF | 18 | 6-4 | 192 | R | R | - | | J.J. Kelly (Wise,VA) | |
| 22 | 541** | June-Reg | Chris Bando | OF | 21 | 6-0 | 195 | B | R | MLB | 1981-1989 | Arizona State University | |
| 23 | 565** | June-Reg | Larry Reasonover | SB | | | | | | Rookie | | Gulf Coast Community College | |
| 1 | 14 | June-Sec | Ron Driver | P | 21 | 6-1 | 190 | L | L | AA | | San Jacinto College | |
| 2 | 36** | June-Sec | Curt Reade | P | | | | | | A+ | | Allan Hancock College | |
| 1 | 3 | Jan-Reg | Daryl Bailey | P | | 6-1 | 180 | R | R | AA | | Monroe Community College | |
| 2 | 29 | Jan-Reg | Dale LaBar | 3B | | | | | | - | | | |
| 3 | 55 | Jan-Reg | Stephen Ibarguen | P | | | | | | AA | | Panola College | |
| 4 | 81 | Jan-Reg | Rick Nicholson | P | 20 | 6-3 | 190 | R | R | AA | | | |
| 1 | 4 | Jan-Sec | Steven Splitt | OF | 20 | 5-11 | 175 | L | L | AA | | UCLA | |
| 2 | 29 | Jan-Sec | Larry Edwards | P | | | | | | AAA | | Allegany College of Maryland | |
| 3 | 48** | Jan-Sec | Steve Winfield | P | | | | | | AAA | | Panola College | |