diff --git a/manifests/install.pp b/manifests/install.pp
index 8b409794..026b94e9 100644
--- a/manifests/install.pp
+++ b/manifests/install.pp
@@ -7,11 +7,12 @@
 class python::install {
 
   $python = $python::version ? {
-    'system'              => 'python',
-    'pypy'                => 'pypy',
-    /\A(python)?([0-9]+)/ => "python${2}",
-    /\Arh-python[0-9]{2}/ => $python::version,
-    default               => "python${python::version}",
+    'system'                 => 'python',
+    'pypy'                   => 'pypy',
+    /\A(python[23]\.[0-9]+)/ => $1,
+    /\A(python)?([0-9]+)/    => "python${2}",
+    /\Arh-python[0-9]{2}/    => $python::version,
+    default                  => "python${python::version}",
   }
 
   $pythondev = $facts['os']['family'] ? {
diff --git a/spec/classes/python_spec.rb b/spec/classes/python_spec.rb
index d5d3fbeb..ec1120cf 100644
--- a/spec/classes/python_spec.rb
+++ b/spec/classes/python_spec.rb
@@ -21,6 +21,18 @@
           # Basic python packages (from pip)
           it { is_expected.to contain_package('virtualenv') }
 
+          describe 'with python::version' do
+            context 'python3.7' do
+              let(:params) { { version: 'python3.7' } }
+
+              it { is_expected.to compile.with_all_deps }
+              it { is_expected.to contain_package('pip').with_name('python3.7-pip') }
+              it { is_expected.to contain_package('python').with_name('python3.7') }
+              it { is_expected.to contain_package('python-dev').with_name('python3.7-dev') }
+              it { is_expected.to contain_package('virtualenv').with_name('virtualenv') }
+            end
+          end
+
           describe 'with python::dev' do
             context 'true' do
               let(:params) { { dev: 'present' } }