diff --git a/src/poetry/core/packages/utils/utils.py b/src/poetry/core/packages/utils/utils.py
index c5d059946..dc6e8e124 100644
--- a/src/poetry/core/packages/utils/utils.py
+++ b/src/poetry/core/packages/utils/utils.py
@@ -316,7 +316,7 @@ def normalize_python_version_markers(  # NOSONAR
         ands = []
         for op, version in or_:
             # Expand python version
-            if op == "==" and "*" not in version:
+            if op == "==" and "*" not in version and version.count(".") < 2:
                 version = "~" + version
                 op = ""
 
diff --git a/tests/packages/utils/test_utils.py b/tests/packages/utils/test_utils.py
index 2afc8d3a4..f64550e0d 100644
--- a/tests/packages/utils/test_utils.py
+++ b/tests/packages/utils/test_utils.py
@@ -134,6 +134,11 @@ def test_convert_markers(
             'python_version >= "3.5" and python_full_version != "3.7.6"',
             ">=3.5,<3.7.6 || >3.7.6",
         ),
+        # Full exact version
+        (
+            'python_full_version == "3.6.1"',
+            "3.6.1",
+        ),
     ],
 )
 def test_get_python_constraint_from_marker(marker: str, constraint: str) -> None: