diff --git a/src/Microsoft.PowerShell.Commands.Management/commands/management/Process.cs b/src/Microsoft.PowerShell.Commands.Management/commands/management/Process.cs
index fe291da8eb1..ef4f5b1a7b4 100644
--- a/src/Microsoft.PowerShell.Commands.Management/commands/management/Process.cs
+++ b/src/Microsoft.PowerShell.Commands.Management/commands/management/Process.cs
@@ -640,6 +640,10 @@ protected override void ProcessRecord()
                             WriteNonTerminatingError(process, ex, ProcessResources.CouldNotEnumerateModules, "CouldNotEnumerateModules", ErrorCategory.PermissionDenied);
                         }
                     }
+                    catch (PipelineStoppedException) 
+                    {
+                        throw;
+                    }
                     catch (Exception exception)
                     {
                         WriteNonTerminatingError(process, exception, ProcessResources.CouldNotEnumerateModules, "CouldNotEnumerateModules", ErrorCategory.PermissionDenied);
diff --git a/test/powershell/Modules/Microsoft.PowerShell.Management/Get-Process.Tests.ps1 b/test/powershell/Modules/Microsoft.PowerShell.Management/Get-Process.Tests.ps1
index 6143ddca0be..2169c23b705 100644
--- a/test/powershell/Modules/Microsoft.PowerShell.Management/Get-Process.Tests.ps1
+++ b/test/powershell/Modules/Microsoft.PowerShell.Management/Get-Process.Tests.ps1
@@ -87,6 +87,11 @@ Describe "Get-Process" -Tags "CI" {
         { Get-Process -Module -ErrorAction Stop } | Should -Throw -ErrorId "CouldNotEnumerateModules,Microsoft.PowerShell.Commands.GetProcessCommand"
     }
 
+    It "Should not fail to stop Get-Process with -Module when piped to Select-Object" {
+        Get-Process -Module -Id $PID -ErrorVariable errs | Select-Object -First 1
+        $errs | Should -HaveCount 0
+    }
+
     It "Should fail to run Get-Process with -FileVersionInfo without admin" -Skip:(!$IsWindows) {
         { Get-Process -FileVersionInfo -ErrorAction Stop } | Should -Throw -ErrorId "CouldNotEnumerateFileVer,Microsoft.PowerShell.Commands.GetProcessCommand"
     }