May 29 || @ Mets || 7–3 || Wayne Gomes (4–1) || Dennis Cook (1–1) || None || 26,579 || 32–18 |- style="background:#bfb" | 51 || May 30 || @ Mets || 6–3 || Vicente Padilla (2–1) || John Franco (1–1) || José Mesa (15) || 24,077 || 33–18 |- style="background:#bfb" | 52 || May 31 || @ Expos || 5–2 || Rhéal Cormier (3–0) || Scott Strickland (0–2) || José Mesa (16) || 5,042 || 34–18 |- |- style="background:#bfb" | 53 || June 1 || @ Expos || 13–2 || Bruce Chen (2–3) || Britt Reames (2–8) || None || 5,267 || 35–18 |- style="background:#fbb" | 54 || June 2 || @ Expos || 5–12 || Tony Armas Jr. (6–5) || Randy Wolf (4–5) || None || 7,810 || 35–19 |- style="background:#fbb" | 55 || June 3 || @ Expos || 3–10 || Masato Yoshii (2–2) || Omar Daal (6–1) || None || 6,504 || 35–20 |- style="background:#fbb" | 56 || June 5 || Mets || 0–9 || Rick Reed (6–2) || Robert Person (4–5) || None || 22,060 || 35–21 |- style="background:#bfb" | 57 || June 6 || Mets || 6–1 || Amaury Telemaco (5–1) || Glendon Rusch (3–5) || None || 32,703 || 36–21 |- style="background:#fbb" | 58 || June 7 || Mets || 5–6 || John Franco (2–1) || José Mesa (1–1) || Armando Benítez (9) || 20,636 || 36–22 |- style="background:#fbb" | 59 || June 8 || @ Red Sox || 2–3 || David Cone (1–1) || Randy Wolf (4–6) || Derek Lowe (7) || 33,435 || 36–23 |- style="background:#bfb" | 60 || June 9 || @ Red Sox || 5–2 || Omar Daal (7–1) || Pedro Martínez (7–2) || José Mesa (17) || 32,944 || 37–23 |- style="background:#fbb" | 61 || June 10 || @ Red Sox || 4–5 || Hideo Nomo (6–3) || Rhéal Cormier (3–1) || Derek Lowe (8) || 32,767 || 37–24 |- style="background:#fbb" | 62 || June 12 || @ Devil Rays || 5–9 || Joe Kennedy (2–0) || Amaury Telemaco (5–2) || None || 12,602 || 37–25 |- style="background:#fbb" | 63 || June 13 || @ Devil Rays || 3–5 || Bryan Rekar (1–7) || Ricky Bottalico (2–4) || Esteban Yan (7) || 10,539 || 37–26 |- style="background:#fbb" | 64 || June 14 || @ Devil Rays || 3–6 || Ryan Rupe (4–5) || Randy Wolf (4–7) || Esteban