diff --git a/tracing-subscriber/src/filter/env/directive.rs b/tracing-subscriber/src/filter/env/directive.rs
index de8019437b..14d57c5ba1 100644
--- a/tracing-subscriber/src/filter/env/directive.rs
+++ b/tracing-subscriber/src/filter/env/directive.rs
@@ -275,6 +275,12 @@ impl Default for Directive {
 
 impl PartialOrd for Directive {
     fn partial_cmp(&self, other: &Directive) -> Option<Ordering> {
+        Some(self.cmp(other))
+    }
+}
+
+impl Ord for Directive {
+    fn cmp(&self, other: &Directive) -> Ordering {
         // We attempt to order directives by how "specific" they are. This
         // ensures that we try the most specific directives first when
         // attempting to match a piece of metadata.
@@ -321,14 +327,7 @@ impl PartialOrd for Directive {
             }
         }
 
-        Some(ordering)
-    }
-}
-
-impl Ord for Directive {
-    fn cmp(&self, other: &Self) -> Ordering {
-        self.partial_cmp(other)
-            .expect("Directive::partial_cmp should define a total order")
+        ordering
     }
 }
 
@@ -502,8 +501,8 @@ impl Statics {
     }
 }
 
-impl PartialOrd for StaticDirective {
-    fn partial_cmp(&self, other: &StaticDirective) -> Option<Ordering> {
+impl Ord for StaticDirective {
+    fn cmp(&self, other: &StaticDirective) -> Ordering {
         // We attempt to order directives by how "specific" they are. This
         // ensures that we try the most specific directives first when
         // attempting to match a piece of metadata.
@@ -542,14 +541,13 @@ impl PartialOrd for StaticDirective {
             }
         }
 
-        Some(ordering)
+        ordering
     }
 }
 
-impl Ord for StaticDirective {
-    fn cmp(&self, other: &Self) -> Ordering {
-        self.partial_cmp(other)
-            .expect("StaticDirective::partial_cmp should define a total order")
+impl PartialOrd for StaticDirective {
+    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
+        Some(self.cmp(other))
     }
 }
 
diff --git a/tracing-subscriber/src/filter/env/field.rs b/tracing-subscriber/src/filter/env/field.rs
index 1daf4fc984..4d00c04b48 100644
--- a/tracing-subscriber/src/filter/env/field.rs
+++ b/tracing-subscriber/src/filter/env/field.rs
@@ -13,7 +13,7 @@ use std::{
 use super::{FieldMap, LevelFilter};
 use tracing_core::field::{Field, Visit};
 
-#[derive(Debug, Eq, PartialEq, Ord)]
+#[derive(Debug, Eq, PartialEq)]
 pub(crate) struct Match {
     pub(crate) name: String, // TODO: allow match patterns for names?
     pub(crate) value: Option<ValueMatch>,
@@ -95,8 +95,8 @@ impl fmt::Display for Match {
     }
 }
 
-impl PartialOrd for Match {
-    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
+impl Ord for Match {
+    fn cmp(&self, other: &Self) -> Ordering {
         // Ordering for `Match` directives is based first on _whether_ a value
         // is matched or not. This is semantically meaningful --- we would
         // prefer to check directives that match values first as they are more
@@ -113,11 +113,15 @@ impl PartialOrd for Match {
         // This ordering is no longer semantically meaningful but is necessary
         // so that the directives can be stored in the `BTreeMap` in a defined
         // order.
-        Some(
-            has_value
-                .then_with(|| self.name.cmp(&other.name))
-                .then_with(|| self.value.cmp(&other.value)),
-        )
+        has_value
+            .then_with(|| self.name.cmp(&other.name))
+            .then_with(|| self.value.cmp(&other.value))
+    }
+}
+
+impl PartialOrd for Match {
+    fn partial_cmp(&self, other: &Self) -> Option<Ordering> {
+        Some(self.cmp(other))
     }
 }