|| |- style="text-align:center; background:#bfb;" | 54 || May 31 || Orioles || 3–2 || Ray (2–1) || Guthrie (2–7) || League (15) || 11,692 || 28–26 || |- |- style="text-align:center; background:#fbb;" | 55 || June 1 || Orioles || 1–2 || Johnson (4–1) || Wright (1–2) || Gregg (9) || 18,036 || 28–27 || |- style="text-align:center; background:#bfb;" | 56 || June 2 || Rays || 8–2 || Hernández (6–4) || Shields (5–4) || || 16,376 || 29–27 || |- style="text-align:center; background:#bfb;" | 57 || June 3 || Rays || 7–0 || Vargas (4–3) || Sonnanstine (0–2) || || 24,492 || 30–27 || |- style="text-align:center; background:#fbb;" | 58 || June 4 || Rays || 2–3 || Hellickson (7–3) || Fister (3–6) || Farnsworth (11) || 28,843 || 30–28 || |- style="text-align:center; background:#bfb;" | 59 || June 5 || Rays || 9–6 || Wright (2–2) || Howell (0–1) || League (16) || 28,947 || 31–28 || |- style="text-align:center; background:#fbb;" | 60 || June 6 || @ White Sox || 1–3 || Danks (1–8) || Pineda (6–3) || Santos (11) || 23,847 || 31–29 || |- style="text-align:center; background:#fbb;" | 61 || June 7 || @ White Sox || 1–5 || Humber (5–3) || Hernández (6–5) || || 21,337 || 31–30 || |- style="text-align:center; background:#bfb;" | 62 || June 8 || @ White Sox || 7–4 (10) || Laffey (1–1) || Santos (2–2) || League (17) || 21,517 || 32–30 || |- style="text-align:center; background:#fbb;" | 63 || June 9 || @ Tigers || 1–4 || Verlander (7–3) || Fister (3–7) || Valverde (16) || 22,090 || 32–31 || |- style="text-align:center; background:#bfb;" | 64 || June 10 || @ Tigers || 3–2 || Ray (3–1) || Penny (5–5) || League (18) || 30,511 || 33–31 || |- style="text-align:center; background:#fbb;" | 65 || June 11 || @ Tigers || 1–8 || Scherzer (8–2) || Pineda (6–4) || || 38,398 || 33–32 || |- style="text-align:center; background:#bfb;" | 66 || June 12 || @ Tigers || 7–3 || Hernández (7–5) || Porcello (6–4) || || 31,572 || 34–32 || |- style="text-align:center; background:#fbb;" | 67 || June 13 || Angels || 3–6 || Haren (6–4) || Vargas (4–4) || Walden (15) || 20,238 || 34–33 || |- style="text-align:center; background:#fbb;" | 68 || June 14 || Angels || 0–4 || Weaver (8–4) || Fister (3–8) || || 17,634 || 34–34 || |- style="text-align:center; background:#bfb;" | 69 || June 15 ||