diff --git a/Tools/msi/common.wxs b/Tools/msi/common.wxs
index c894eb8..1949e81 100644
--- a/Tools/msi/common.wxs
+++ b/Tools/msi/common.wxs
@@ -20,10 +20,12 @@
     <Fragment>
         <Property Id="UpgradeTable" Value="1" />
         
+        <?ifndef SuppressUpgradeTable ?>
         <Upgrade Id="$(var.UpgradeCode)">
             <UpgradeVersion Property="DOWNGRADE" Minimum="$(var.Version)" IncludeMinimum="no" OnlyDetect="yes" />
             <UpgradeVersion Property="UPGRADE" Minimum="$(var.UpgradeMinimumVersion)" IncludeMinimum="yes" Maximum="$(var.Version)" IncludeMaximum="no" />
         </Upgrade>
+        <?endif ?>
         
         <?ifdef CoreUpgradeCode ?>
         <?if $(var.UpgradeCode)!=$(var.CoreUpgradeCode) ?>
diff --git a/Tools/msi/launcher/launcher.wixproj b/Tools/msi/launcher/launcher.wixproj
index 01a9dcb..8935ce8 100644
--- a/Tools/msi/launcher/launcher.wixproj
+++ b/Tools/msi/launcher/launcher.wixproj
@@ -5,7 +5,7 @@
         <SchemaVersion>2.0</SchemaVersion>
         <OutputName>launcher</OutputName>
         <OutputType>Package</OutputType>
-        <DefineConstants>UpgradeCode=1B68A0EC-4DD3-5134-840E-73854B0863F1;$(DefineConstants)</DefineConstants>
+        <DefineConstants>UpgradeCode=1B68A0EC-4DD3-5134-840E-73854B0863F1;SuppressUpgradeTable=1;$(DefineConstants)</DefineConstants>
         <IgnoreCommonWxlTemplates>true</IgnoreCommonWxlTemplates>
         <SuppressICEs>ICE80</SuppressICEs>
     </PropertyGroup>
diff --git a/Tools/msi/launcher/launcher.wxs b/Tools/msi/launcher/launcher.wxs
index c0ff51a..7de131a 100644
--- a/Tools/msi/launcher/launcher.wxs
+++ b/Tools/msi/launcher/launcher.wxs
@@ -29,18 +29,21 @@
             <Custom Before="SetLauncherInstallDirectoryLM" Action="SetLauncherInstallDirectoryCU">NOT Installed AND NOT ALLUSERS=1</Custom>
             <Custom Before="CostFinalize" Action="SetLauncherInstallDirectoryLM">NOT Installed AND ALLUSERS=1</Custom>
 
-            <RemoveExistingProducts After="InstallValidate">UPGRADE or REMOVE_350_LAUNCHER</RemoveExistingProducts>
+            <RemoveExistingProducts After="InstallValidate">UPGRADE or REMOVE_350_LAUNCHER or REMOVE_360A1_LAUNCHER</RemoveExistingProducts>
         </InstallExecuteSequence>
 
+        <!-- Upgrade all versions of the launcher -->
+        <Upgrade Id="$(var.UpgradeCode)">
+            <UpgradeVersion Property="DOWNGRADE" Minimum="$(var.Version)" IncludeMinimum="no" OnlyDetect="yes" />
+            <UpgradeVersion Property="UPGRADE" Minimum="0.0.0.0" IncludeMinimum="yes" Maximum="$(var.Version)" IncludeMaximum="no" />
+        </Upgrade>
         <!-- Python 3.5.0 shipped with a different UpgradeCode -->
         <Upgrade Id="A71530B9-E89D-53DB-9C2D-C6D7551876D8">
             <UpgradeVersion Minimum="0.0.0.0" Property="REMOVE_350_LAUNCHER" />
         </Upgrade>
         <!-- Python 3.6.0a1 shipped with a different UpgradeCode -->
         <Upgrade Id="394750C0-7880-5A8F-999F-933965FBCFB4">
-            <UpgradeVersion Maximum="$(var.Version)" Property="REMOVE_360A1_LAUNCHER" />
-            <UpgradeVersion Minimum="$(var.Version)" Property="BLOCK_360A1_LAUNCHER" />
+            <UpgradeVersion Minimum="0.0.0.0" Property="REMOVE_360A1_LAUNCHER" />
         </Upgrade>
-        <Condition Message="!(loc.NoDowngrade)">Installed OR NOT BLOCK_360A1_LAUNCHER</Condition>
     </Product>
 </Wix>