style="background:#fbb;" | 53 || June 4 || @ White Sox || 8–10 || || || || 27–26 || L1 |- style="background:#fbb;" | 54 || June 5 || @ White Sox || 4–5 || || || || 27–27 || L2 |- style="background:#cfc;" | 55 || June 6 || Angels || 6–4 || || || || 28–27 || W1 |- style="background:#fbb;" | 56 || June 7 || Angels || 0–1 || || || || 28–28 || L1 |- style="background:#fbb;" | 57 || June 8 || Angels || 2–5 || || || || 28–29 || L2 |- style="background:#cfc;" | 58 || June 9 || Athletics || 5–2 || || || || 29–29 || W1 |- style="background:#fbb;" | 59 || June 10 || Athletics || 6–7 || || || || 29–30 || L1 |- style="background:#fbb;" | 60 || June 11 || Athletics || 4–13 || || || || 29–31 || L2 |- style="background:#cfc;" | 61 || June 12 || Athletics || 3–2 || || || || 30–31 || W1 |- style="background:#fbb;" | 62 || June 14 || @ Angels || 0–3 || || || || 30–32 || L1 |- style="background:#cfc;" | 63 || June 15 || @ Angels || 6–3 (10) || || || || 31–32 || W1 |- style="background:#fbb;" | 64 || June 16 || @ Angels || 0–3 || || || || 31–33 || L1 |- style="background:#fbb;" | 65 || June 17 || @ Athletics || 6–7 (14) || || || || 31–34 || L2 |- style="background:#fbb;" | 66 || June 18 || @ Athletics || 1–2 (13) || || || || 31–35 || L3 |- style="background:#cfc;" | 67 || June 19 || @ Athletics || 5–4 <small>(11)</smsll> || || || || 32–35 || W1 |- style="background:#cfc;" | 68 || June 20 || Mariners || 4–3 || || || || 33–35 || W2 |- style="background:#cfc;" | 69 || June 21 || Mariners || 6–0 || || || || 34–35 || W3 |- style="background:#fbb;" | 70 || June 22 || Mariners || 2–3 (10) || || || || 34–36 || L1 |- style="background:#cfc;" | 71 || June 24 || White Sox || 5–2 || || || || 35–36 || W1 |- style="background:#fbb;" | 72 || June 25 || White Sox || 5–10 || || || || 35–37 || L1 |- style="background:#fbb;" | 73 || June 26 || White Sox || 5–7 || || || || 35–38 || L2 |- style="background:#fbb;" | 74 ||