15,165 || 20–38 |- style="background:#fbb" | 59 || June 7 || @ Pirates || 2–9 || Jon Lieber (3–7) || Ryan Nye (0–1) || None || 25,664 || 20–39 |- style="background:#bfb" | 60 || June 8 || @ Pirates || 3–2 || Curt Schilling (8–5) || Steve Cooke (5–7) || Ricky Bottalico (13) || 30,667 || 21–39 |- style="background:#fbb" | 61 || June 10 || @ Expos || 5–8 || Dave Veres (2–1) || Ricky Bottalico (1–2) || Lee Smith (5) || 27,823 || 21–40 |- style="background:#fbb" | 62 || June 11 || @ Expos || 3–4 || Jim Bullinger (4–5) || Jerry Spradlin (1–3) || Ugueth Urbina (10) || 10,475 || 21–41 |- style="background:#bfb" | 63 || June 13 || Blue Jays || 4–3 || Wayne Gomes (1–0) || Paul Spoljaric (0–3) || Ricky Bottalico (14) || 26,799 || 22–41 |- style="background:#fbb" | 64 || June 14 || Blue Jays || 2–3 || Robert Person (2–4) || Ryan Nye (0–2) || Paul Quantrill (4) || 22,582 || 22–42 |- style="background:#fbb" | 65 || June 15 || Blue Jays || 1–11 || Pat Hentgen (7–3) || Mark Leiter (4–7) || None || 30,516 || 22–43 |- style="background:#fbb" | 66 || June 16 || @ Red Sox || 4–5 (10) || John Wasdin (1–3) || Ricky Bottalico (1–3) || None || 26,926 || 22–44 |- style="background:#fbb" | 67 || June 17 || @ Red Sox || 6–12 || Aaron Sele (8–5) || Scott Ruffcorn (0–1) || Kerry Lacy (3) || 25,591 || 22–45 |- style="background:#fbb" | 68 || June 18 || @ Red Sox || 2–4 || Jeff Suppan (2–0) || Curt Schilling (8–6) || Chris Hammond (1) || 27,502 || 22–46 |- style="background:#fbb" | 69 || June 20 || Braves || 1–4 || Tom Glavine (7–4) || Mark Leiter (4–8) || None || 20,648 || 22–47 |- style="background:#fbb" | 70 || June 21 || Braves || 8–9 || Brad Clontz (3–1) || Ron Blazier (0–1) || Mark Wohlers (15) || 24,309 || 22–48 |- style="background:#fbb" | 71 || June 22 || Braves || 5–12 || Greg Maddux (9–3) || Garrett Stephenson (2–3) || None || 25,534 || 22–49 |- style="background:#bfb" | 72 || June 23 || Marlins || 9–3 || Curt Schilling (9–6) || Rick Helling (2–5) || None || 18,033 || 23–49 |- style="background:#fbb" | 73 || June 24 || Marlins || 1–4 || Al Leiter (6–5) || Scott