diff --git a/src/python_inspector/dependencies.py b/src/python_inspector/dependencies.py
index 0c491304..d16d64fb 100644
--- a/src/python_inspector/dependencies.py
+++ b/src/python_inspector/dependencies.py
@@ -54,7 +54,12 @@ def get_extra_data_from_requirements(requirements_file="requirements.txt") -> It
 
 def is_requirement_pinned(requirement: Requirement) -> bool:
     specifiers = requirement.specifier
-    return specifiers and len(specifiers) == 1 and next(iter(specifiers)).operator in {"==", "==="}
+    if len(specifiers) != 1:
+        return False
+    specifier = next(iter(specifiers))
+    return specifier.operator == "===" or (
+        specifier.operator == "==" and not specifier.version.endswith(".*")
+    )
 
 
 def get_dependency(specifier) -> DependentPackage:
diff --git a/tests/test_requirement_pins.py b/tests/test_requirement_pins.py
new file mode 100644
index 00000000..1d76de8e
--- /dev/null
+++ b/tests/test_requirement_pins.py
@@ -0,0 +1,30 @@
+# Copyright (c) nexB Inc. and others. All rights reserved.
+# SPDX-License-Identifier: Apache-2.0
+# See https://github.com/aboutcode-org/python-inspector for support or download.
+
+import pytest
+
+from packvers.requirements import Requirement
+from python_inspector.dependencies import get_dependency
+from python_inspector.dependencies import is_requirement_pinned
+
+
+@pytest.mark.parametrize(
+    "text,expected",
+    [
+        ("demo", False),
+        ("demo==1.2.*", False),
+        ("demo>=1", False),
+        ("demo==1.2", True),
+        ("demo===1.2", True),
+        ("demo===1.2.*", True),
+    ],
+)
+def test_requirement_pins(text, expected):
+    assert is_requirement_pinned(Requirement(text)) is expected
+
+
+def test_wildcard_dependency_has_no_exact_version():
+    dependency = get_dependency("demo==1.2.*")
+    assert dependency.purl == "pkg:pypi/demo"
+    assert dependency.is_resolved is False