(5–5) || Gregg (10) || 20,086 || 29–29 || 4 |- style="text-align:center; background:#cfc;" | 59 || June 5 || @ Orioles || 7–4 || Reyes (2–4) || Guthrie (2–8) || || 25,431 || 30–29 || 4 |- style="text-align:center; background:#fbb;" | 60 || June 6 || @ Royals || 3–2 (11) || Soria (4–3) || Francisco (1–3) || || 12,194 || 30–30 || 4½ |- style="text-align:center; background:#cfc;" | 61 || June 7 || @ Royals || 8–5 || Drabek (4–4) || Mazzaro (0–1) || Rauch (7) || 16,539 || 31–30 || 3½ |- style="text-align:center; background:#cfc;" | 62 || June 8 || @ Royals || 9–8 || Villanueva (4–0) || Duffy (0–2) || Janssen (1) || 12,152 || 32–30 || 3½ |- style="text-align:center; background:#fbb;" | 63 || June 9 || @ Royals || 3–2 || Hochevar (4–6) || Romero (5–6) || Soria (8) || 13,941 || 32–31 || 4½ |- style="text-align:center; background:#fbb;" | 64 || June 10 || Red Sox || 5–1 || Buchholz (5–3) || Reyes (2–5) || || 28,588 || 32–32 || 5½ |- style="text-align:center; background:#fbb;" | 65 || June 11 || Red Sox || 16–4 || Lackey (4–5) || Morrow (2–4) || || 39,437 || 32–33 || 6½ |- style="text-align:center; background:#fbb;" | 66 || June 12 || Red Sox || 14–1 || Lester (9–2) || Drabek (4–5) || || 30,364 || 32–34 || 7½ |- style="text-align:center; background:#cfc;" | 67 || June 14 || Orioles || 6–5 (11) || Camp (1–1) || Uehara (1–1) || || 15,592 || 33–34 || 6½ |- style="text-align:center; background:#cfc;" | 68 || June 15 || Orioles || 4–1 || Romero (6–6) || Arrieta (8–4) || Francisco (6) || 14,541 || 34–34 || 6½ |- style="text-align:center; background:#fbb;" | 69 || June 16 || Orioles || 4–3 || Berken (1–2) || Rauch (2–3) || Gregg (13) || 31,822 || 34–35 || 7½ |- style="text-align:center; background:#cfc;" | 70 || June 17 || @ Reds || 3–2 || Reyes (3–5) || Leake (6–3) || Francisco (7) || 32,026 || 35–35 || 7½ |- style="text-align:center; background:#cfc;" | 71 || June 18 || @ Reds || 4–0 || Morrow (3–4) || Vólquez (4–3) || || 31,688 || 36–35 || 6½ |- style="text-align:center; background:#fbb;" | 72 || June 19 || @ Reds || 2–1 || Arroyo (6–6) || Villanueva (4–1) || Cordero (5) || 32,618 || 36–36 || 7½ |- style="text-align:center; background:#fbb;" | 73 || June 20 || @ Braves || 2–0