Fiers (5–3) || Skaggs (4–6) || — || 34,109 || 31–31 || W1 |-style=background:#cfc ||64|| June 7 || @ Rangers || 5–3 || Petit (1–1) || Leclerc (1–2) || Treinen (13) || 25,120 || 32–31 || W2 |-style=background:#fbb ||65|| June 8 (1)|| @ Rangers || 5–10 || Springs (4–1) || Blackburn (0–1) || — || 22,327 || 32–32 || L1 |-style=background:#fbb ||66|| June 8 (2)|| @ Rangers || 1–3 || Sampson (5–3) || Bassitt (3–2) || — || 39,514 || 32–33 || L2 |-style=background:#cfc ||67|| June 9 || @ Rangers || 9–8 || Montas (8–2) || Smyly (1–5) || Treinen (14) || 20,358 || 33–33 || W1 |-style=background:#fbb ||68|| June 10 || @ Rays || 2–6 || Morton (8–0) || Anderson (0–1) || — || 16,091 || 33–34 || L1 |-style=background:#cfc ||69|| June 11 || @ Rays || 4–3 || Fiers (6–3) || Pagán (1–1) || Treinen (15) || 11,132 || 34–34 || W1 |-style=background:#cfc ||70|| June 12 || @ Rays || 6–2 || Hendriks (3–0) || Kolarek (2–2) || — || 17,946 || 35–34 || W2 |-style=background:#fbb ||71|| June 14 || Mariners || 2–9 || Gonzales (7–6) || Bassitt (3–3) || — || 21,387 || 35–35 || L1 |-style=background:#cfc ||72|| June 15 || Mariners || 11–2 || Montas (9–2) || Bautista (0–1) || — || 14,846 || 36–35 || W1 |-style=background:#fbb ||73|| June 16 || Mariners || 3–6 || Leake (6–6) || Trivino (2–5) || Elías (7) || 30,242 || 36–36 || L1 |-style=background:#cfc ||74|| June 17 || Orioles || 3–2 || Fiers (7–3) || Cashner (6–3) || Treinen (16) || 12,345 || 37–36 || W1 |-style=background:#cfc ||75|| June 18 || Orioles || 16–2 || Anderson (7–4) || Ynoa (0–4) || — || 14,310 || 38–36 || W2 |-style=background:#cfc ||76|| June 19 || Orioles || 8–3 || Bassitt (4–3) || Rogers (0–1) || — || 15,341 || 39–36 || W3 |-style=background:#cfc ||77|| June 20 || Rays || 5–4 || Trivino (3–5) || Castillo (1–5) || — || 12,351 || 40–36 || W4 |-style=background:#fbb ||78|| June 21 || Rays || 3–5 || Pruitt (1–0) || Anderson (0–2) || Pagán (4) || 16,126 || 40–37 || L1 |-style=background:#cfc ||79|| June 22 || Rays || 4–2 || Petit (2–1) || Castillo (1–6) || Hendriks (1) || 26,623 || 41–37 || W1 |-style=background:#fbb ||80|| June 23 || Rays || 2–8 || Yarbrough (6–3) || Anderson (7–5) || — || 17,006 || 41–38 ||