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| 16 Results (Sorted By Pick) |
| | Round | Pick | Name | Pos. | Year(s) | School |
| 1. | 1 | 4 | Fullwood, Brent | RB | 1987 | Auburn |
| 2. | 2 | 41 | Holland, Johnny | LB | 1987 | Texas A&M |
| 3. | 3a | 61 | Croston, Dave | T | 1987 | Iowa |
| 4. | 3b | 69 | Stephen, Scott | LB | 1987 | Arizona State |
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| (from Atlanta Falcons) |
| 5. | 3c | 71 | Neal, Frankie | WR | 1987 | Fort Hays State |
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| (from Los Angeles Raiders in James Lofton trade) |
| 6. | 4 | 89 | Freeman, Lorenzo | DT | 1987 | Pittsburgh |
| 7. | 5 | 115 | (to San Diego Chargers in 1985 Mossy Cade trade) | | 1987 | |
| 8. | 6 | 145 | Marshall, Willie | WR | 1987 | Temple |
| 9. | 7a | 172 | Leiker, Tony | DT | 1987 | Stanford |
| 10. | 7b | 191 | Smith, Bill | P | 1987 | Mississippi |
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| (from Cleveland Browns in 1985 John Jefferson trade) |
| 11. | 8 | 198 | Drost, Jeff | DT | 1987 | Iowa |
| 12. | 9 | 228 | Harris, Gregg | G | 1987 | Wake Forest |
| 13. | 10 | 255 | Majkowski, Don | QB | 1987 | Virginia |
| 14. | 11 | 282 | Scott, Patrick | WR | 1987 | Grambling |
| 15. | 12a | 312 | (to Seattle Seahawks in 1986 Dan Ross trade) | | 1987 | |
| 16. | 12b | 335 | Jefferson, Norman | DB | 1987 | Louisiana State |
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| (from New York Giants in Phil McConkey trade) | |
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