|| 28,912 || 29–30 || W2 |-style=background:#fbb | 60 || June 3 || @ Cubs || 1–8 || Lester (4–4) || Cahill (2–6) || — || 39,843 || 29–31 || L1 |-style=background:#fbb | 61 || June 4 || Athletics || 2–4 || Montas (7–2) || Canning (2–2) || Treinen (12) || 36,009 || 29–32 || L2 |-style=background:#bfb | 62 || June 5 || Athletics || 10–9 || Robles (3–0) || Trivino (2–4) || — || 36,065 || 30–32 || W1 |-style=background:#fbb | 63 || June 6 || Athletics || 4–7 || Fiers (5–3) || Skaggs (4–6) || — || 34,109 || 30–33 || L1 |-style=background:#fbb | 64 || June 7 || Mariners || 2–6 || Gonzales (6–6) || Heaney (0–1) || — || 41,495 || 30–34 || L2 |-style=background:#bfb | 65 || June 8 || Mariners || 12–3 || Peters (1–0) || Kikuchi (3–4) || — || 40,569 || 31–34 || W1 |-style=background:#fbb | 66 || June 9 || Mariners || 3–9 || LeBlanc (3–2) || Suárez (1–1) || — || 41,614 || 31–35 || L1 |-style=background:#bfb | 67 || June 10 || Dodgers || 5–3 || Buttrey (4–2) || Kelly (1–3) || Robles (8) || 45,477 || 32–35 || W1 |-style=background:#bfb | 68 || June 11 || Dodgers || 5–3 || Peña (4–1) || Maeda (7–3) || Robles (9) || 45,404 || 33–35 || W2 |-style=background:#bfb | 69 || June 13 || @ Rays || 5–3 || Skaggs (5–6) || Yarbrough (5–3) || Bedrosian (1) || 15,291 || 34–35 || W3 |-style=background:#fbb | 70 || June 14 || @ Rays || 4–9 || Pagán (2–1) || Buttrey (4–3) || — || 21,598 || 34–36 || L1 |-style=background:#bfb | 71 || June 15 || @ Rays || 5–3 || Suárez (2–1) || Morton (8–1) || Robles (10) || 22,320 || 35–36 || W1 |-style=background:#fbb | 72 || June 16 || @ Rays || 5–6 || Poche (1–1) || Canning (2–3) || Castillo (7) || 20,508 || 35–37 || L1 |-style=background:#bfb | 73 || June 17 || @ Blue Jays || 10–5 || Peña (5–1) || Jackson (1–5) || — || 15,227 || 36–37 || W1 |-style=background:#bfb | 74 || June 18 || @ Blue Jays || 3–1 || Skaggs (6–6) || Stroman (4–9) || Robles (11) || 17,259 || 37–37 || W2 |-style=background:#bfb | 75 || June 19 || @ Blue Jays || 11–6 || Ramirez (3–0) || Sanchez (3–9)