| 1 | 13 | June-Reg | John Russell | C-OF | 21 | 6-0 | 205 | R | R | MLB | 1984-1993 | University of Oklahoma | |
| 2 | 41 | June-Reg | Lance McCullers | P | 18 | 6-1 | 218 | B | R | MLB | 1985-1992 | Tampa Catholic (Tampa,FL) | |
| 3 | 67 | June-Reg | Kevin Ross | OF | | | | | | - | | Newberry (Newberry,FL) | |
| 4 | 93 | June-Reg | Gib Seibert | OF | | | | | | AAA | | Arizona State University | |
| 5 | 119 | June-Reg | Mike Maddux | P | 20 | 6-2 | 185 | L | R | MLB | 1986-2000 | University of Texas-El Paso | |
| 6 | 145** | June-Reg | Mike Cook | P | 18 | 6-3 | 200 | R | R | MLB | 1986-1993 | St. Andrews (Charleston,SC) | |
| 7 | 171 | June-Reg | Howard Nichols | 1B-C | | | | | | AAA | | Skyline (Oakland,CA) | |
| 8 | 197** | June-Reg | Billy Bates | 2B-SS | 18 | 5-7 | 155 | L | R | MLB | 1989-1990 | Aldine (Houston,TX) | |
| 9 | 223 | June-Reg | Russell Morton | P | | | | | | A+ | | Newman University | |
| 10 | 249** | June-Reg | Lance Lincoln | SS | | | | | | A+ | | Pullman (Pullman,WA) | |
| 11 | 275 | June-Reg | Kevin Coker | P | | | | | | A+ | | North Brunswick (Leland,NC) | |
| 12 | 300 | June-Reg | Jerry Arnold | p | | | | | | AAA | | Baylor University | |
| 13 | 326 | June-Reg | Damon Dombek | p | | | | | | A+ | | Penny (East Hartford,CT) | |
| 14 | 352 | June-Reg | Frank Martinez | 1B | | | | | | Rookie | | Selma (Selma,CA) | |
| 15 | 378 | June-Reg | Terry Dickerson | p | | | | | | Rookie | | Forest Hill (West Palm Beach,FL) | |
| 16 | 404 | June-Reg | Henry Smith | 3B | | | | | | A | | Forest Brook (Houston,TX) | |
| 17 | 430 | June-Reg | Kevin Walters | C | | | | | | A+ | | Santa Clara University | |
| 18 | 456** | June-Reg | Greg Lorenzetti | OF | | | | | | Rookie | | Stanford University | |
| 19 | 482 | June-Reg | Brant Weatherford | p | | | | | | A+ | | Muskogee (Muskogee,OK) | |
| 20 | 508 | June-Reg | Steve Castleberry | 3B | | | | | | - | | Mount Carmel (San Diego,CA) | |
| 21 | 533** | June-Reg | Bernard Walker | OF | | | | | | AAA | | Corsicana (Corsicana,TX) | |
| 22 | 558 | June-Reg | Greg Legg | SS | 22 | 6-1 | 185 | R | R | MLB | 1986-1987 | Southeastern Oklahoma State University | |
| 23 | 583 | June-Reg | Milo Choate | 3B | | | | | | A- | | University of Texas | |
| 24 | 608 | June-Reg | James Vest | OF | | | | | | A+ | | College of the Holy Cross | |
| 25 | 633 | June-Reg | David Vernon | C | | | | | | A- | | Oxnard (Oxnard,CA) | |
| 26 | 658 | June-Reg | Greg Devote | OF | | | | | | - | | Oak Park (Oak Park,MI) | |
| 27 | 682 | June-Reg | Rodger Cole | p | 21 | 5-8 | 200 | B | R | AAA | | Wiley College | |
| 28 | 705 | June-Reg | Byron Beal | p | | | | | | A- | | Lewisville (Lewisville,TX) | |
| 29 | 728** | June-Reg | Ken Patterson | p | 17 | 6-4 | 210 | L | L | MLB | 1988-1994 | McGregor (McGregor,TX) | |
| 30 | 748 | June-Reg | David Kennard | 2B-SS | | | | | | A+ | | Texas A&M University | |
| 31 | 765** | June-Reg | Bruce Ruffin | p | 18 | 6-2 | 215 | B | L | MLB | 1986-1997 | Hanks (El Paso,TX) | |
| 32 | 778 | June-Reg | John Powell | p | | | | | | A | | Lewisville (Lewisville,TX) | |
| 33 | 788 | June-Reg | Louis Lukes | OF | | | | | | A- | | Cajon (San Bernardino,CA) | |
| 34 | 796 | June-Reg | Paul Robinson | p | | | | | | A- | | Sam Houston State University | |
| 35 | 802** | June-Reg | Wayne Egbert | p | | | | | | - | | Sumner (Sumner,WA) | |
| 1 | 17 | June-Sec | Ken Jackson | SS | 18 | 5-9 | 170 | R | R | MLB | 1987-1987 | Angelina College | |
| 2 | 41** | June-Sec | Craig Reid | SS | | | | | | A- | | Panola College | |
| 3 | 60** | June-Sec | Brett Harrison | SS | | | | | | AA | | Bacone College | |
| 4 | 73 | June-Sec | Todd Johnson | OF | | | | | | A+ | | Northwood University | |
| 1 | 14 | Jan-Reg | Jimmy King | SS | | | | | | - | | | |
| 2 | 40 | Jan-Reg | Vaughn Calloway | C | | | | | | A | | Pratt Community College | |
| 3 | 66 | Jan-Reg | Dan Odgers | 3B-SS | | | | | | A+ | | Chipola College | |
| 4 | 92 | Jan-Reg | Dodd Hook | 3B-1b | | | | | | - | | Indian Hills Community College-Centerville | |
| 5 | 118 | Jan-Reg | Ray Ortega | 3B | | | | | | A+ | | Bakersfield College | |
| 6 | 144** | Jan-Reg | Darren Loy | C | 19 | 6-0 | 190 | R | R | AAA | | Seminole Community College | |
| 7 | 169 | Jan-Reg | Kirk Burgess | P | | | | | | A- | | Seminole Community College | |
| 8 | 194** | Jan-Reg | Alejandro Garcia | P | | | | | | AA | | San Jacinto College | |
| 9 | 217 | Jan-Reg | Alan Brown | OF | | | | | | - | | San Jacinto College | |
| 10 | 237** | Jan-Reg | Joe Jordan | C | | | | | | A- | | Seminole Community College | |
| 11 | 255** | Jan-Reg | Joe Neely | P | | | | | | College | | Bacone College | |
| 12 | 269** | Jan-Reg | Walt Stull | P | | | | | | A+ | | Sacramento City College | |
| 13 | 280 | Jan-Reg | Harris Campbell | OF | | | | | | - | | | |
| 14 | 289** | Jan-Reg | Jamie Doughty | SS | | | | | | AA | | Seminole Community College | |
| 15 | 296 | Jan-Reg | Jamie Campbell | p | | | | | | - | | McBee (McBee,SC) | |
| 16 | 302** | Jan-Reg | Tony Faryniarz | p | | | | | | A- | | Cordova (Rancho Cordova,CA) | |
| 17 | 307 | Jan-Reg | Thomas Orsag | p | | | | | | - | | Triton College | |
| 18 | 312 | Jan-Reg | Robert McClanahan | p | | | | | | - | | Mount Olive College | |
| 19 | 317** | Jan-Reg | Matt Butcher | 2B | | | | | | A+ | | West Los Angeles College | |
| 20 | 321 | Jan-Reg | Rick Surhoff | p | 19 | 6-2 | 210 | R | R | MLB | 1985-1985 | St. Johns River Community College | |
| 1 | 15 | Jan-Sec | John Machin | P | | | | | | A+ | | Austin Community College | |
| 2 | 39 | Jan-Sec | Mark Michna | OF | | | | | | - | | Blinn College | |
| 3 | 55 | Jan-Sec | Craig Fitzpatrick | P | | | | | | - | | | |