June 1 || @ Rays || 6–2 || Gibson (6–2) || Chirinos (6–2) || — || 14,381 || 39–18 || W2 |-style=background:#cfc ||58|| June 2 || @ Rays || 9–7 || Odorizzi (8–2) || Yarbrough (4–2) || Rogers (5) || 14,616 || 40–18 || W3 |-style=background:#fbb ||59|| June 4 || @ Indians || 2–5 || Bieber (5–2) || Smeltzer (0–1) || Hand (17) || 15,814 || 40–19 || L1 |-style=background:#fbb ||60|| June 5 || @ Indians || 7–9 || Wittgren (3–0) || Parker (0–2) || Hand (18) || 16,962 || 40–20 || L2 |-style=background:#cfc ||61|| June 6 || @ Indians || 5–4 || Berríos (8–2) || Bauer (4–6) || Rogers (6) || 15,350 || 41–20 || W1 |-style=background:#cfc ||62|| June 7 || @ Tigers || 6–3 || Harper (1–0) || Jiménez (2–4) || Parker (9) || 21,551 || 42–20 || W2 |-style=background:#fbb ||63|| June 8 || @ Tigers || 3–9 || Ramirez (2–0) || Gibson (6–3) || — || 26,818 || 42–21 || L1 |-style=background:#cfc ||64|| June 9 || @ Tigers || 12–2 || Odorizzi (9–2) || Carpenter (1–3) || — || 20,127 || 43–21 || W1 |-style=background:#cfc ||65|| June 11 || Mariners || 6–5 || Magill (2–0) || Brennan (2–5) || May (1) || 23,046 || 44–21 || W2 |-style=background:#fbb ||66|| June 12 || Mariners || 6–9 (10) || Bass (1–1) || Duffey (1–1) || Elías (6) || 25,909 || 44–22 || L1 |-style=background:#cfc ||67|| June 13 || Mariners || 10–5 || Harper (2–0) || Brennan (2–6) || — || 31,912 || 45–22 || W1 |-style=background:#cfc ||68|| June 14 || Royals || 2–0 || Gibson (7–3) || Diekman (0–4) || Rogers (7) || 38,898 || 46–22 || W2 |-style=background:#cfc ||69|| June 15 || Royals || 5–4 || Odorizzi (10–2) || Sparkman (1–3) || Rogers (8) || 39,267 || 47–22 || W3 |-style=background:#fbb ||70|| June 16 || Royals || 6–8 || López (1–6) || Pérez (7–3) || Kennedy (7) || 38,886 || 47–23 || L1 |-style=background:#fbb ||71|| June 17 || Red Sox || 0–2 || Porcello (5–6) || Berríos (8–3) || Brasier (7) || 27,970 || 47–24 || L2 |-style=background:#cfc ||72|| June 18 || Red Sox || 4–3 (17) || Littell (1–0) || Johnson (0–1) || — || 25,741 || 48–24 || W1 |-style=background:#fbb ||73|| June 19 || Red Sox || 4–9 || Rodríguez (8–4) || Gibson (7–4) || — || 31,835 || 48–25 || L1 |-style=background:#fbb ||74|| June 20