diff --git a/.evergreen/generated_configs/variants.yml b/.evergreen/generated_configs/variants.yml
index 26027888fe..dfad673a67 100644
--- a/.evergreen/generated_configs/variants.yml
+++ b/.evergreen/generated_configs/variants.yml
@@ -279,7 +279,7 @@ buildvariants:
     tags: [encryption_tag, pr]
   - name: encryption-pyopenssl-ubuntu-22
     tasks:
-      - name: .test-non-standard .python-3.15t
+      - name: .test-non-standard .python-3.15t !.server-4.4 !.server-5.0
     display_name: Encryption PyOpenSSL Ubuntu-22
     run_on:
       - ubuntu2204-small
diff --git a/.evergreen/scripts/generate_config.py b/.evergreen/scripts/generate_config.py
index 9ec13d5037..c164db38f0 100644
--- a/.evergreen/scripts/generate_config.py
+++ b/.evergreen/scripts/generate_config.py
@@ -197,12 +197,12 @@ def get_encryption_expansions(encryption):
     )
 
     # The 3.15t PyOpenSSL tests only run on Ubuntu 22, whose OpenSSL 3.0.2 is
-    # needed to build the cryptography package.
+    # needed to build the cryptography package; only MongoDB 6.0+ runs there.
     expansions = get_encryption_expansions("Encryption PyOpenSSL")
     display_name = get_variant_name("Encryption PyOpenSSL", host, **expansions)
     variants.append(
         create_variant(
-            [".test-non-standard .python-3.15t"],
+            [".test-non-standard .python-3.15t !.server-4.4 !.server-5.0"],
             display_name,
             host=host,
             expansions=expansions,
diff --git a/pyproject.toml b/pyproject.toml
index 661c4d01e6..17e4ecda4b 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -67,7 +67,7 @@ unasync = [
 pip = ["pip>=20.2"]
 gevent = ["gevent>=21.12"]
 coverage = [
-    "coverage[toml]>=5,<=7.15.0"
+    "coverage[toml]>=6.4,<=7.15.0"
 ]
 mockupdb = [
     "mockupdb>=1.8.1"
diff --git a/uv.lock b/uv.lock
index 577a943912..f6e2f67961 100644
--- a/uv.lock
+++ b/uv.lock
@@ -1412,7 +1412,7 @@ requires-dist = [
 provides-extras = ["aws", "docs", "encryption", "gssapi", "ocsp", "snappy", "test", "zstd"]
 
 [package.metadata.requires-dev]
-coverage = [{ name = "coverage", extras = ["toml"], specifier = ">=5,<=7.15.0" }]
+coverage = [{ name = "coverage", extras = ["toml"], specifier = ">=6.4,<=7.15.0" }]
 dev = []
 gevent = [{ name = "gevent", specifier = ">=21.12" }]
 lint = [{ name = "ruff", specifier = "==0.15.20" }]