diff --git a/libexec/pyenv-version-name b/libexec/pyenv-version-name
index 73093b31..b3866dbd 100755
--- a/libexec/pyenv-version-name
+++ b/libexec/pyenv-version-name
@@ -32,8 +32,12 @@ OLDIFS="$IFS"
   for version in ${PYENV_VERSION}; do
     # Remove the explicit 'python-' prefix from versions like 'python-3.12'.
     normalised_version="${version#python-}"
-    if version_exists "${normalised_version}" || [ "$version" = "system" ]; then
+    if version_exists "${version}" || [ "$version" = "system" ]; then
+      versions=("${versions[@]}" "${version}")
+    elif version_exists "${normalised_version}"; then
       versions=("${versions[@]}" "${normalised_version}")
+    elif resolved_version="$(pyenv-latest -b "${version}")"; then
+      versions=("${versions[@]}" "${resolved_version}")
     elif resolved_version="$(pyenv-latest -b "${normalised_version}")"; then
       versions=("${versions[@]}" "${resolved_version}")
     else
diff --git a/test/version-name.bats b/test/version-name.bats
index e3c9a6a4..720f6c86 100644
--- a/test/version-name.bats
+++ b/test/version-name.bats
@@ -127,3 +127,10 @@ OUT
   assert_success
   assert_output "3.12.6"
 }
+
+@test "pyenv version started by python-" {
+  create_version "python-3.12.6"
+  PYENV_VERSION="python-3.12.6" run pyenv-version-name
+  assert_success
+  assert_output "python-3.12.6"
+}