diff --git a/CHANGELOG.md b/CHANGELOG.md
index c82508140..b79c7be1e 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -20,7 +20,7 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/).
 ### Fixed
 
 - Sandboxed processes sticking around after CLI is killed with a signal
-- Lockfiles with local versions breaking the `requirements.txt` parser
+- Lockfiles with local versions breaking the pip parser
 
 ## 6.3.0 - 2024-04-18
 
diff --git a/lockfile/src/parsers/pypi.rs b/lockfile/src/parsers/pypi.rs
index ea88bf755..950bb4796 100644
--- a/lockfile/src/parsers/pypi.rs
+++ b/lockfile/src/parsers/pypi.rs
@@ -102,7 +102,10 @@ fn package<'a>(input: &'a str, registry: Option<&str>) -> IResult<&'a str, Packa
 
     // Parse first-party dependencies.
     let (input, version) = package_version(input)?;
+
+    // Parse local version specifier.
     let (input, local_version) = opt(local_version)(input)?;
+
     let version = match (registry, local_version) {
         (_, Some(_)) => PackageVersion::Unknown,
         (Some(registry), _) => PackageVersion::ThirdParty(ThirdPartyVersion {
diff --git a/tests/fixtures/requirements-locked.txt b/tests/fixtures/requirements-locked.txt
index d79f71544..ac347b86c 100644
--- a/tests/fixtures/requirements-locked.txt
+++ b/tests/fixtures/requirements-locked.txt
@@ -20,7 +20,7 @@ requests[security,tests]==2.28.1
 
 werkzeug==2.9.2 ; python_version >= "3.7" and python_version < "3.12"
 
-localversion==2.3.4+1.0.99
+localversion==2.3.4+1.0.99.local
 
 attr @ file:///tmp/attr
 
diff --git a/tests/fixtures/requirements-unlocked.txt b/tests/fixtures/requirements-unlocked.txt
index 4f075a6e0..1daaf904a 100644
--- a/tests/fixtures/requirements-unlocked.txt
+++ b/tests/fixtures/requirements-unlocked.txt
@@ -32,3 +32,4 @@ FooProject8 > 1.8.*
 FooProject9 > 2.0.*, !=2.1
 FooProject10==1.2.3 --random-flag
 git+https://github.com/matiascodesal/git-for-pip-example.git@v1.0.0#egg=my-git-package
+localversion >= 2.3.4+1.0.99.local