diff --git a/CHANGELOG.md b/CHANGELOG.md
index 7ba89b0cc..9998e0733 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,13 @@
 # posh-git Release History
 
+## 1.0.0 - TBD
+
+### Fixed
+
+- Register-ArgumentCompleter based tab-expansion in beta4 doesn't work with PowerShell aliases to git,tgit,gitk.
+  ([#769](https://github.com/dahlbyk/posh-git/issues/769))
+  ([PR #770](https://github.com/dahlbyk/posh-git/pull/770))
+
 ## 1.0.0-beta4 - March 14, 2020
 
 ### Added
diff --git a/src/GitTabExpansion.ps1 b/src/GitTabExpansion.ps1
index 3c733aaa8..7104c59a0 100644
--- a/src/GitTabExpansion.ps1
+++ b/src/GitTabExpansion.ps1
@@ -480,7 +480,10 @@ function WriteTabExpLog([string] $Message) {
 }
 
 if (!$UseLegacyTabExpansion -and ($PSVersionTable.PSVersion.Major -ge 6)) {
-    Microsoft.PowerShell.Core\Register-ArgumentCompleter -CommandName git,tgit,gitk -Native -ScriptBlock {
+    $cmdNames = "git","tgit","gitk"
+    $cmdNames += Get-Alias -Definition $cmdNames -ErrorAction Ignore | ForEach-Object Name
+
+    Microsoft.PowerShell.Core\Register-ArgumentCompleter -CommandName $cmdNames -Native -ScriptBlock {
         param($wordToComplete, $commandAst, $cursorPosition)
 
         # The PowerShell completion has a habit of stripping the trailing space when completing: