| Year | Seed | Round | Opponent | Result |
| 1956 | | Regional semifinals Regional 3rd-place game | SMU Kansas State | L 74–89 L 70–89 |
| 1961 | | Regional quarterfinals Regional semifinals Regional 3rd-place game | Marquette Kansas State Texas Tech | W 77–61 L 64–75 L 67–69 |
| 1965 | | Regional quarterfinals Regional semifinals Regional 3rd-place game | Notre Dame Oklahoma State SMU | W 99–98 L 60–75 L 87–89 |
| 1966 | | Regional quarterfinals Regional semifinals Regional 3rd-place game | Colorado State Oregon State Pacific | W 82–76 L 60–63 W 102–91 |
| 1967 | | Regional quarterfinals Regional semifinals Regional finals Final Four National 3rd-place game | New Mexico State Kansas SMU UCLA North Carolina | W 59–58 W 66–53 W 83–75 L 58–73 W 84–62 |
| 1968 | | Regional quarterfinals Regional semifinals Regional finals Final Four National 3rd-place game | Loyola–Chicago Louisville TCU UCLA Ohio State | W 94–76 W 91–75 W 103–68 L 69–101 L 85–89 |
| 1970 | | Regional quarterfinals Regional semifinals Regional 3rd-place game | Dayton Drake Kansas State | W 71–64 L 87–92 L 98–107 |
| 1971 | | Regional quarterfinals Regional semifinals Regional 3rd-place game | New Mexico State Kansas Notre Dame | W 72–69 L 77–78 W 119–106 |
| 1972 | | Regional quarterfinals | Texas | L 74–85 |
| 1973 | | Regional quarterfinals | Southwestern Louisiana | L 89–102 |
| 1978 | (4Q) | First round | (2L) Notre Dame | L 77–100 |
| 1981 | | First round | Villanova | L 72–90 |
| 1982 | | First round Second round Sweet Sixteen Elite Eight Final Four | Alcorn State Tulsa Missouri Boston College North Carolina | W 94–84 W 78–74 W 79–78 W 99–92 L 63–68 |
| 1983 | | Second round Sweet Sixteen Elite Eight Final Four National Championship | Maryland Memphis State Villanova Louisville NC State | W 60–50 W 70–63 W 89–71 W 94–81 L 52–54 |
| 1984 | | Second round Sweet Sixteen Elite Eight Final Four National Championship | Louisiana Tech Memphis State Wake Forest Virginia Georgetown | W 77–70 W 78–71 W 68–63 W 49–47 OT L 75–84 |
| 1987 | | First round | Kansas | L 55–66 |
| 1990 | | First round | UC Santa Barbara | L 66–70 |
| 1992 | | First round | Georgia Tech | L 60–65 |
| 2010 | | First round | Maryland | L 77–89 |
| 2018 | | First round Second round | San Diego State Michigan | W 67–65 L 63–64 |
| 2019 | | First round Second round Sweet Sixteen | Georgia State Ohio State Kentucky | W 84–55 W 74–59 L 58–62 |
| 2021 | | First round Second round Sweet Sixteen Elite Eight Final Four | Cleveland State Rutgers Syracuse Oregon State Baylor | W 87–56 W 63–60 W 62–46 W 67–61 L 59–78 |
| 2022 | | First round Second round Sweet Sixteen Elite Eight | UAB Illinois Arizona Villanova | W 82–68 W 68–53 W 72–60 L 44–50 |
| 2023 | | First round Second round Sweet Sixteen | Northern Kentucky Auburn Miami (FL) | W 63–52 W 81–64 L 75–89 |
| 2024 | | First round Second round Sweet Sixteen | Longwood Texas A&M Duke | W 86–46 W 100–95 OT L 51–54 |
| 2025 | | First round Second round Sweet Sixteen Elite Eight Final Four National Championship | SIU Edwardsville Gonzaga Purdue Tennessee Duke Florida | W 78–40 W 81–76 W 62–60 W 69–50 W 70–67 L 63–65 |
| 2026 | | First round Second round Sweet Sixteen | Idaho Texas A&M Illinois | W 78–47 W 88–57 L 55–65 |