| 1930-31 (11-10) | |||
| Coach: W. H. Britton | |||
| Captains: Maurice Corbitt, Hugh D. Faust, Jr. | |||
| Date | Opponent | Result | Site |
| D14 | Carson Newman | W, 24-20 | Knoxville |
| D20 | Union College | W, 31-23 | Knoxville |
| J2 | Burk Terrors | W, 50-28 | Knoxville |
| J5 | Clemson | W, 40-23 | Knoxville |
| J10 | at Kentucky | L, 23-31 | Lexington |
| J12 | Tennessee Wesleyan | W, 47-25 | Knoxville |
| J16 | at Georgia | L, 19-22 | Athens |
| J17 | at Clemson | L, 31-38 | Clemson |
| J22 | at Georgia Tech | L, 29-49 | Atlanta |
| J24 | Maryville | W, 40-27 | Knoxville |
| J27 | at Vanderbilt | L, 40-41 | Nashville |
| J31 | Kentucky | L, 32-36* | Knoxville |
| F4 | Detroit | L, 30-31 | Knoxville |
| F7 | Alabama | W, 26-24 | Knoxville |
| F10 | Georgia Tech | L, 25-32 | Knoxville |
| F11 | Duke | W, 36-25 | Knoxville |
| F16 | Milligan | W, 36-33 | Knoxville |
| F19 | Georgia | L, 18-31 | Knoxville |
| F21 | Vanderbilt | W, 37-34 | Knoxville |
| Southern Conference Tournament | |||
| F27 | Alabama | W, 26-20 | Atlanta |
| F28 | Florida | L, 29-33 | Atlanta |
| 1931-32 (8-7) | |||
| Coach: W. H. Britton | |||
| Captain: Claude S. Reeder, Jr. | |||
| Date | Opponent | Result | Site |
| D19 | Carson Newman | W, 30-21 | Knoxville |
| J1 | Lincoln Memorial | W, 42-17 | Knoxville |
| J4 | Clemson | W, 25-18 | Knoxville |
| J9 | Georgia | W, 24-17 | Knoxville |
| J13 | Milligan | L, 26-32 | Knoxville |
| J16 | Kentucky | L, 28-29 | Knoxville |
| J23 | at Georgia | L, 19-38 | Athens |
| J26 | at Vanderbilt | W, 27-25 | Nashville |
| J30 | at Alabama | L, 19-24 | Tuscaloosa |
| F2 | Tennessee Wesleyan | W, 33-23 | Knoxville |
| F6 | Alabama | L, 21-25 | Knoxville |
| F8 | Duke | W, 32-31 | Knoxville |
| F13 | at Kentucky | L, 27-41 | Lexington |
| F19 | Vanderbilt | W, 27-22 | Knoxville |
| Southern Conference Tournament | |||
| F26 | North Carolina | L, 25-35 | Atlanta |
| 1932-33 [9-11 / 3-7 (10th SEC)] | |||
| Coach: W. H. Britton | |||
| Captain: E. Powell McWhirter | |||
| Date | Opponent | Result | Site |
| D17 | Lincoln Memorial | W, 41-18 | Knoxville |
| D30 | at Tulane | L, 23-31 | New Orleans |
| D31 | at Tulane | L, 33-34 | New Orleans |
| J2 | at Alabama | L, 15-49 | Tuscaloosa |
| J5 | South Carolina | L, 29-33 | Knoxville |
| J7 | Celtics | L, 28-30 | Knoxville |
| J10 | at Vanderbilt | L, 32-37 | Nashville |
| J14 | Kentucky | L, 21-42 | Knoxville |
| J16 | Milligan | L, 26-44 | Knoxville |
| J20 | Chattanooga | W, 43-30 | Knoxville |
| J24 | Alabama | W, 26-23 | Knoxville |
| J28 | at Kentucky | L, 23-44 | Lexington |
| J31 | King | W, 43-21 | Knoxville |
| F4 | at Georgia Tech | L, 23-37 | Atlanta |
| F7 | Mexico | W, 43-31 | Knoxville |
| F11 | Tennessee Wesleyan | W, 51-11 | Knoxville |
| F13 | Georgia Tech | W, 33-26 | Knoxville |
| F17 | Vanderbilt | W, 35-27 | Knoxville |
| Southeastern Conference Tournament | |||
| F24 | Georgia Tech | W, 30-24 | Atlanta |
| F25 | LSU | L, 43-55 | Atlanta |
| 1933-34 [10-7 / 3-5 (8th SEC)] | |||
| Coach: W. H. Britton | |||
| Captain: Albert Kirk | |||
| Date | Opponent | Result | Site |
| D19 | Tennessee Wesleyan | W, 41-19 | Knoxville |
| J6 | Celtics | L, 25-30 | Knoxville |
| J9 | Clemson | W, 30-27 | Knoxville |
| J13 | Kentucky | L, 23-44 | Knoxville |
| J16 | at Alabama | L, 31-44 | Tuscaloosa |
| J20 | Emory & Henry | W, 32-31 | Knoxville |
| J24 | at Vanderbilt | L, 26-31 | Nashville |
| J27 | at Kentucky | L, 26-53 | Lexington |
| J31 | at Georgia Tech | W, 35-25 | Atlanta |
| F3 | Milligan | W, 31-26 | Knoxville |
| F6 | Chattanooga | W, 43-28 | Knoxville |
| F9 | Alabama | L, 26-54 | Knoxville |
| F12 | Georgia Tech | W, 23-21 | Knoxville |
| F16 | Vanderbilt | W, 45-34 | Knoxville |
| Southeastern Conference Tournament | |||
| F24 | LSU | W, 42-35 | Atlanta |
| F25 | Auburn | W, 43-26 | Atlanta |
| F26 | Alabama | L, 26-29 | Atlanta |
| 1934-35 [11-5 / 7-4 (3rd SEC)] | |||
| Coach: W. H. Britton | |||
| Captain: Harry Anderson | |||
| Date | Opponent | Result | Site |
| D15 | Tennessee Wesleyan | W, 65-20 | Knoxville |
| D17 | Lincoln Memorial | W, 52-16 | Knoxville |
| J7 | Clemson | L, 33-40 | Knoxville |
| J10 | Tulane | W, 38-17 | Knoxville |
| J11 | Tulane | W, 39-27 | Knoxville |
| J16 | at Georgia Tech | W, 36-26 | Atlanta |
| J19 | Emory & Henry | W, 32-29 | Knoxville |
| J26 | at Kentucky | L, 21-48 | Lexington |
| F1 | Auburn | W, 48-27 | Knoxville |
| F4 | at Alabama | L, 29-45 | Tuscaloosa |
| F9 | Alabama | L, 28-30 | Knoxville |
| F12 | at Vanderbilt | W, 39-29 | Nashville |
| F16 | Kentucky | L, 36-38 | Knoxville |
| F18 | Georgia Tech | W, 34-31 | Knoxville |
| F23 | Vanderbilt | W, 39-37 | Knoxville |
| M2 | Woco-Pep | W, 51-27 | Knoxville |
| 1935-36 [15-6 / 8-4 (3rd SEC)] | |||
| Coach: Blair Gullion | |||
| Captain: Harry Anderson | |||
| Date | Opponent | Result | Site |
| D14 | Tennessee Wesleyan | W, 44-22 | Knoxville |
| D19 | at Lambuth | L, 28-29 | Jackson |
| J4 | Emory & Henry | W, 31-29 | Knoxville |
| J7 | Chattanooga | W, 45-22 | Knoxville |
| J11 | Georgia | W, 56-44 | Knoxville |
| J15 | Sewanee | W, 41-18 | Knoxville |
| J17 | at Georgia Tech | L, 30-33 | Atlanta |
| J18 | at Alabama | W, 39-34 | Tuscaloosa |
| J24 | at Xavier | L, 20-34 | Cincinnati |
| J25 | at Kentucky | L, 31-40 | Lexington |
| J31 | at Georgia | L, 24-30 | Athens |
| F1 | at Chattanooga | W, 44-16 | Chattanooga |
| F10 | Alabama | W, 28-20 | Knoxville |
| F15 | Kentucky | W, 39-28 | Knoxville |
| F18 | at Vanderbilt | L, 30-33 | Nashville |
| F19 | at Sewanee | W, 46-35 | Sewanee |
| F22 | Vanderbilt | W, 34-33 | Knoxville |
| F24 | Georgia Tech | W, 33-21 | Knoxville |
| Southeastern Conference Tournament | |||
| F28 | Auburn | W, 43-25 | Knoxville |
| F29 | Kentucky | W, 39-28 | Knoxville |
| M2 | Alabama | W, 29-25 | Knoxville |
| 1936-37 [17-5 / 7-1 (2nd SEC)] | |||
| Coach: Blair Gullion | |||
| Captain: Floyd Marshall | |||
| Date | Opponent | Result | Site |
| D9 | Tennessee Wesleyan | W, 36-20 | Knoxville |
| D12 | Carson Newman | W, 37-18 | Knoxville |
| D17 | Clemson | W, 33-23 | Knoxville |
| D31 | 1-Arkansas | L, 34-42 | New Orleans |
| J5 | Emory & Henry | W, 35-27 | Knoxville |
| J9 | Creighton | W, 34-28 | Knoxville |
| J12 | Chattanooga | W, 35-15 | Knoxville |
| J16 | at Alabama | W, 36-31** | Tuscaloosa |
| J19 | Sewanee | W, 47-12 | Knoxville |
| J23 | at Kentucky | L, 26-43 | Lexington |
| J27 | at Long Island | L, 24-30 | New York City |
| J28 | at Baltimore | L, 33-37 | Baltimore |
| F1 | Marshall | W, 33-31 | Knoxville |
| F4 | at Vanderbilt | W, 50-30 | Nashville |
| F8 | Alabama | W, 26-23 | Knoxville |
| F13 | Kentucky | W, 26-24 | Knoxville |
| F17 | Vanderbilt | W, 34-28 | Knoxville |
| F19 | at Chattanooga | W, 28-20 | Chattanooga |
| F20 | at Sewanee | W, 36-23 | Sewanee |
| Southeastern Conference Tournament | |||
| F26 | Georgia | W, 35-11 | Knoxville |
| F27 | Alabama | W, 42-25 | Knoxville |
| M1 | Kentucky | L, 25-39 | Knoxville |
| 1-Sugar Bowl Classic | |||
| 1937-38 [15-8 / 7-4 (5th SEC)] | |||
| Coach: Blair Gullion | |||
| Captain: Alvin Rice | |||
| Date | Opponent | Result | Site |
| D7 | Lincoln Memorial | W, 27-14 | Knoxville |
| D11 | Tennessee Wesleyan | W, 42-15 | Knoxville |
| D17 | at Clemson | L, 15-28 | Clemson |
| D18 | at South Carolina | W, 31-21 | Columbia |
| D20 | at George Washington | L, 24-47 | Washington D.C. |
| D21 | at Duquesne | W, 31-27 | Pittsburgh |
| J5 | Mississippi State | L, 31-35 | Knoxville |
| J8 | Emory & Henry | W, 26-20 | Knoxville |
| J14 | at Alabama | W, 27-17 | Tuscaloosa |
| J15 | at Mississippi State | L, 31-34 | Starkville |
| J18 | Sewanee | W, 39-20 | Knoxville |
| J22 | at Kentucky | L, 27-52 | Lexington |
| J25 | Chattanooga | W, 38-18 | Knoxville |
| J28 | at Vanderbilt | W, 37-30 | Nashville |
| F5 | Marshall | L, 31-34 | Knoxville |
| F7 | at Chattanooga | W, 37-31 | Chattanooga |
| F11 | Alabama | W, 36-22 | Knoxville |
| F16 | Florida | W, 41-28 | Knoxville |
| F19 | Vanderbilt | W, 38-26 | Knoxville |
| F22 | at Sewanee | W, 33-27 | Sewanee |
| F26 | Kentucky | L, 26-29 | Knoxville |
| Southeastern Conference Tournament | |||
| M3 | Mississippi State | W, 41-34 | Baton Rouge |
| M3 | Mississippi | L, 40-45 | Baton Rouge |
| 1938-39 [14-7 / 6-5 (8th SEC)] | |||
| Coach: John Mauer | |||
| Captains: Charles Higdon, Byrl Logan (Co-Captain) | |||
| Date | Opponent | Result | Site |
| D5 | Lincoln Memorial | W, 37-35 | Knoxville |
| D10 | Clemson | W, 29-16 | Knoxville |
| D15 | Tennessee Wesleyan | W, 29-24 | Knoxville |
| J3 | Emory & Henry | W, 52-25 | Knoxville |
| J9 | South Carolina | W, 44-18 | Knoxville |
| J13 | at Alabama | L, 37-39** | Tuscaloosa |
| J14 | at Mississippi State | L, 24-25 | Starkville |
| J18 | Sewanee | W, 51-27 | Knoxville |
| J21 | at Kentucky | W, 30-29 | Lexington |
| J23 | Michigan State | L, 31-35 | Knoxville |
| J28 | Vanderbilt | W, 33-31 | Knoxville |
| F4 | Marshall | W, 42-41 | Knoxville |
| F10 | Alabama | L, 37-42** | Knoxville |
| F14 | Mississippi State | W, 42-30 | Knoxville |
| F18 | Kentucky | L, 34-36** | Knoxville |
| F21 | at Vanderbilt | L, 38-46 | Nashville |
| F22 | at Sewanee | W, 44-20 | Sewanee |
| F25 | Georgia | W, 35-29 | Knoxville |
| Southeastern Conference Tournament | |||
| M2 | Auburn | W, 49-35 | Knoxville |
| M3 | Vanderbilt | W, 39-36 | Knoxville |
| M4 | Kentucky | L, 38-46 | Knoxville |
| 1939-40 [14-7 / 7-3 (2nd SEC)] | |||
| Coach: John Mauer | |||
| Captain: Gilbert Huffman | |||
| Date | Opponent | Result | Site |
| D11 | Tennessee Tech | W, 37-23 | Knoxville |
| D20 | Milligan | W, 35-23 | Knoxville |
| D30 | King College | W, 54-17 | Knoxville |
| J2 | Lincoln Memorial | W, 39-32 | Knoxville |
| J6 | at Michigan State | L, 20-29 | East Lansing |
| J8 | at Xavier | L, 35-36 | Cincinnati |
| J13 | at Alabama | W, 26-23 | Tuscaloosa |
| J15 | Vanderbilt | W, 29-23 | Knoxville |
| J20 | at Kentucky | L, 26-35 | Lexington |
| J26 | at Sewanee | W, 46-19 | Sewanee |
| J27 | at Vanderbilt | W, 34-31 | Nashville |
| J31 | Tennessee Wesleyan | W, 43-21 | Knoxville |
| F3 | Marshall | L, 40-47 | Knoxville |
| F10 | Sewanee | W, 36-28 | Knoxville |
| F12 | Alabama | L, 23-26 | Knoxville |
| F17 | Kentucky | W, 27-23 | Knoxville |
| F23 | at Florida | L, 38-41 | Gainesville |
| F24 | at Georgia | W, 58-41 | Athens |
| Southeastern Conference Tournament | |||
| F28 | Georgia Tech | W, 55-43 | Knoxville |
| F29 | Florida | W, 42-32 | Knoxville |
| M1 | Kentucky | L, 29-30** | Knoxville |
