24‑Dec‑1981 | Australian Open | Grass | R32 | | 31 | (11)Chris Lewis Nzl [NZL] d. Davis | 6-4 6-3 6-3 | | | | | | | | | |
24‑Dec‑1981 | Australian Open | Grass | R64 | | | Davis d. Jonathan Smith [GBR] | 6-2 7-6 6-7 4-6 6-1 | | | | | | | | | |
14‑Dec‑1981 | Sydney Outdoor | Grass | R64 | | 67 | Phil Dent [AUS] d. Davis | 6-1 6-2 | | | | | | | | | |
23‑Nov‑1981 | Manila | Clay | R32 | | | Louk Sanders [NED] d. (5)Davis | 6-0 6-2 | | | | | | | | | |
16‑Nov‑1981 | Bangkok | Carpet | R16 | | | Chris Dunk [USA] d. Davis | 3-6 7-6 7-5 | | | | | | | | | |
16‑Nov‑1981 | Bangkok | Carpet | R32 | | | Davis d. Tony Graham [USA] | 7-6 6-3 | | | | | | | | | |
9‑Nov‑1981 | Taipei | Carpet | R16 | | | Robert Vant Hof [USA] d. Davis | 4-6 6-2 7-6 | | | | | | | | | |
9‑Nov‑1981 | Taipei | Carpet | R32 | | | Davis d. Peter Feigl [AUT] | 6-3 3-6 6-2 | | | | | | | | | |
2‑Nov‑1981 | Hong Kong | Hard | SF | | 83 | Van Winitsky [USA] d. Davis | 7-5 6-7 6-3 | | | | | | | | | |
2‑Nov‑1981 | Hong Kong | Hard | QF | | 48 | Davis d. (8)Bruce Manson [USA] | 6-1 6-3 | | | | | | | | | |
2‑Nov‑1981 | Hong Kong | Hard | R16 | | 39 | Davis d. (3)Bill Scanlon [USA] | 6-3 7-5 | | | | | | | | | |
2‑Nov‑1981 | Hong Kong | Hard | R32 | | | Davis d. Mike Bauer [USA] | 6-4 6-3 | | | | | | | | | |
19‑Oct‑1981 | Tokyo Outdoor | Clay | R16 | | 17 | (3)Wojtek Fibak [POL] d. (13)Davis | 3-6 6-4 6-0 | | | | | | | | | |
19‑Oct‑1981 | Tokyo Outdoor | Clay | R32 | | | (13)Davis d. Ivan Dupasquier [SUI] | 7-6 6-1 | | | | | | | | | |
19‑Oct‑1981 | Tokyo Outdoor | Clay | R64 | | | (13)Davis d. Sashi Menon [IND] | 5-7 6-3 7-6 | | | | | | | | | |
29‑Sep‑1981 | Maui | Hard | R32 | | 36 | (3)Bill Scanlon [USA] d. Davis | 6-4 6-1 | | | | | | | | | |
21‑Sep‑1981 | San Francisco | Carpet | R32 | | 80 | Ilie Nastase [ROU] d. Davis | 7-6 6-3 | | | | | | | | | |
21‑Sep‑1981 | San Francisco | Carpet | R64 | | 24 | Davis d. (13)Robert Lutz [USA] | 6-2 3-1 RET | | | | | | | | | |
1‑Sep‑1981 | US Open | Hard | R32 | | | Ramesh Krishnan [IND] d. Davis | 6-2 7-5 6-7 6-4 | | | | | | | | | |
1‑Sep‑1981 | US Open | Hard | R64 | | 10 | Davis d. (10)Brian Teacher [USA] | 2-6 7-6 6-2 6-4 | | | | | | | | | |
1‑Sep‑1981 | US Open | Hard | R128 | | | Davis d. Lloyd Bourne [USA] | 6-3 7-5 3-6 6-1 | | | | | | | | | |
17‑Aug‑1981 | Atlanta | Hard | R32 | | 42 | (5)Terry Moor [USA] d. Davis | 6-3 1-6 6-2 | | | | | | | | | |
10‑Aug‑1981 | Cleveland | Hard | R32 | | 99 | (6)Erik Van Dillen [USA] d. Davis | 6-4 5-7 6-4 | | | | | | | | | |
22‑Jun‑1981 | Wimbledon | Grass | R64 | | 16 | (14)Wojtek Fibak [POL] d. (Q)Davis | 6-4 6-4 6-2 | | | | | | | | | |
22‑Jun‑1981 | Wimbledon | Grass | R128 | | 50 | (Q)Davis d. Shlomo Glickstein [ISR] | 7-5 5-7 2-6 7-5 6-4 | | | | | | | | | |
8‑Jun‑1981 | Queen's Club | Grass | R64 | | | Rod Frawley [AUS] d. Davis | 6-4 6-3 | | | | | | | | | |
4‑May‑1981 | Chitchester CH | Grass | R16 | | | 6-4 6-1 | | | | | | | | | |
4‑May‑1981 | Chitchester CH | Grass | R32 | | | (8)Davis d. Stefan Svensson [SWE] | 6-4 6-1 | | | | | | | | | |
20‑Apr‑1981 | Las Vegas | Hard | R32 | | 40 | Tom Gullikson [USA] d. (Q)Davis | 7-6 6-3 | | | | | | | | | |
13‑Apr‑1981 | Los Angeles | Hard | R32 | | | John Lloyd [GBR] d. Davis | 5-7 6-4 7-5 | | | | | | | | | |
23‑Feb‑1981 | Mexico City | Clay | R16 | | | (3)John Hayes [USA] d. Davis | 7-6 3-6 7-6 | | | | | | | | | |
23‑Feb‑1981 | Mexico City | Clay | R32 | | | Davis d. Syd Ball [AUS] | 3-6 6-3 6-2 | | | | | | | | | |
16‑Feb‑1981 | La Quinta | Hard | R32 | | 6 | (2)Ivan Lendl [USA] d. (Q)Davis | 7-6 6-7 6-3 | | | | | | | | | |
16‑Feb‑1981 | La Quinta | Hard | R64 | | | (Q)Davis d. Raymond Moore [RSA] | 6-4 6-1 | | | | | | | | | |