Báez (11) || 20,892 || 23-32 |-align="center" bgcolor="#ffbbbb" | 56 || June 3 || @ Rockies || 7 – 3 || Elarton (2-1) || Rodríguez (3-6) || || 22,326 || 23-33 |-align="center" bgcolor="#ffbbbb" | 57 || June 4 || @ Rockies || 2 – 1 || Oliver (3-4) || Traber (2-3) || Jiménez (13) || 22,222 || 23-34 |-align="center" bgcolor="#ffbbbb" | 58 || June 5 || @ Rockies || 7 – 4 || Jennings (4-5) || Sabathia (4-3) || Jiménez (14) || 25,221 || 23-35 |-align="center" bgcolor="#bbffbb" | 59 || June 6 || @ Diamondbacks || 6 – 3 || Davis (5-4) || González (1-1) || Báez (12) || 32,430 || 24-35 |-align="center" bgcolor="#ffbbbb" | 60 || June 7 || @ Diamondbacks || 5 – 3 || Randolph (1-0) || Anderson (3-6) || Valverde (2) || 36,619 || 24-36 |-align="center" bgcolor="#ffbbbb" | 61 || June 8 || @ Diamondbacks || 13 – 3 || Webb (3-1) || Rodríguez (3-7) || || 42,956 || 24-37 |-align="center" bgcolor="#bbffbb" | 62 || June 10 || Padres || 8 – 5 || Westbrook (3-3) || Tollberg (0-2) || Báez (13) || 19,949 || 25-37 |-align="center" bgcolor="#bbffbb" | 63 || June 11 || Padres || 3 – 2 || Sabathia (5-3) || Eaton (2-5) || Báez (14) || 17,427 || 26-37 |-align="center" bgcolor="#ffbbbb" | 64 || June 12 || Padres || 9 – 4 || Peavy (5-5) || Davis (5-5) || || 17,983 || 26-38 |-align="center" bgcolor="#ffbbbb" | 65 || June 13 || Dodgers || 4 – 3 (10) || Quantrill (1-2) || Westbrook (3-4) || Gagné (25) || 23,401 || 26-39 |-align="center" bgcolor="#ffbbbb" | 66 || June 14 || Dodgers || 5 – 2 || Ashby (1-4) || Tallet (0-1) || || 25,426 || 26-40 |-align="center" bgcolor="#ffbbbb" | 67 || June 15 || Dodgers || 4 – 3 || Nomo (7-6) || Traber (2-4) || Gagné (26) || 26,786 || 26-41 |-align="center" bgcolor="#bbffbb" | 68 || June 17 || @ Tigers || 7 – 4 || Sabathia (6-3) || Bernero (1-9) || Báez (15) || 13,908 || 27-41 |-align="center" bgcolor="#bbffbb" | 69 || June 18 || @ Tigers || 4 – 1 || Davis (6-5) || Bonderman (2-10) || || 16,278 || 28-41 |-align="center" bgcolor="#bbffbb" | 70 || June 19 || @ Tigers || 10 – 3 || Anderson (4-6) || Cornejo (3-5) || || 19,098 || 29-41 |-align="center" bgcolor="#ffbbbb" | 71 || June