diff --git a/crates/pypi-types/src/lenient_requirement.rs b/crates/pypi-types/src/lenient_requirement.rs
index 1b2b9fd1b..2564a3ee9 100644
--- a/crates/pypi-types/src/lenient_requirement.rs
+++ b/crates/pypi-types/src/lenient_requirement.rs
@@ -15,13 +15,13 @@ static MISSING_COMMA: Lazy<Regex> = Lazy::new(|| Regex::new(r"(\d)([<>=~^!])").u
 static NOT_EQUAL_TILDE: Lazy<Regex> = Lazy::new(|| Regex::new(r"!=~((?:\d\.)*\d)").unwrap());
 /// Ex) `>=1.9.*`, `<3.4.*`
 static INVALID_TRAILING_DOT_STAR: Lazy<Regex> =
-    Lazy::new(|| Regex::new(r"(<=|>=|<|>)(\d+(\.\d+)?)\.\*").unwrap());
+    Lazy::new(|| Regex::new(r"(<=|>=|<|>)(\d+(\.\d+)*)\.\*").unwrap());
 /// Ex) `!=3.0*`
 static MISSING_DOT: Lazy<Regex> = Lazy::new(|| Regex::new(r"(\d\.\d)+\*").unwrap());
 /// Ex) `>=3.6,`
 static TRAILING_COMMA: Lazy<Regex> = Lazy::new(|| Regex::new(r",\s*$").unwrap());
 /// Ex) `>= '2.7'`, `>=3.6'`
-static STRAY_QUOTES: Lazy<Regex> = Lazy::new(|| Regex::new(r#"['"]"#).unwrap());
+static STRAY_QUOTES: Lazy<Regex> = Lazy::new(|| Regex::new(r#"['"]([*\d])|([*\d])['"]"#).unwrap());
 
 /// Regex to match the invalid specifier, replacement to fix it and message about was wrong and
 /// fixed
@@ -45,7 +45,7 @@ static FIXUPS: &[(&Lazy<Regex>, &str, &str)] = &[
     // Given `>=3.6,`, rewrite to `>=3.6`
     (&TRAILING_COMMA, r"${1}", "removing trailing comma"),
     // Given `>= '2.7'`, rewrite to `>= 2.7`
-    (&STRAY_QUOTES, r"", "removing stray quotes"),
+    (&STRAY_QUOTES, r"$1$2", "removing stray quotes"),
 ];
 
 fn parse_with_fixups<Err, T: FromStr<Err = Err>>(input: &str, type_name: &str) -> Result<T, Err> {
diff --git a/crates/uv/tests/pip_install.rs b/crates/uv/tests/pip_install.rs
index 21d0a0eac..9a7d4f78c 100644
--- a/crates/uv/tests/pip_install.rs
+++ b/crates/uv/tests/pip_install.rs
@@ -1097,3 +1097,35 @@ fn install_constraints_inline() -> Result<()> {
 
     Ok(())
 }
+
+/// Tests that we can install `polars==0.14.0`, which has this odd dependency
+/// requirement in its wheel metadata: `pyarrow>=4.0.*; extra == 'pyarrow'`.
+///
+/// The `>=4.0.*` is invalid, but is something we "fix" because it is out
+/// of the control of the end user. However, our fix for this case ends up
+/// stripping the quotes around `pyarrow` and thus produces an irrevocably
+/// invalid dependency requirement.
+///
+/// See: <https://github.com/astral-sh/uv/issues/1477>
+#[test]
+fn install_pinned_polars_invalid_metadata() {
+    let context = TestContext::new("3.12");
+
+    // Install Flask.
+    uv_snapshot!(command(&context)
+        .arg("polars==0.14.0"),
+        @r###"
+    success: true
+    exit_code: 0
+    ----- stdout -----
+
+    ----- stderr -----
+    Resolved 1 package in [TIME]
+    Downloaded 1 package in [TIME]
+    Installed 1 package in [TIME]
+     + polars==0.14.0
+    "###
+    );
+
+    context.assert_command("import polars").success();
+}