diff --git a/test/powershell/Get-Process.Tests.ps1 b/test/powershell/Get-Process.Tests.ps1
index b87c23e2c..514ef15db 100644
--- a/test/powershell/Get-Process.Tests.ps1
+++ b/test/powershell/Get-Process.Tests.ps1
@@ -4,7 +4,7 @@ Describe "Get-Process" {
 	(Get-Process).GetType().Name | Should Be Object[]
     }
 
-    It "Should have not empty Name flags set for Get-Process object" {
+    It "Should have not empty Name flags set for Get-Process object" -Pending:$IsOSX {
 	Get-Process | foreach-object { $_.Name | Should Not BeNullOrEmpty }
     }
 }
diff --git a/test/powershell/NativeLinuxCommands.Tests.ps1 b/test/powershell/NativeLinuxCommands.Tests.ps1
index 07b776009..b7168579b 100644
--- a/test/powershell/NativeLinuxCommands.Tests.ps1
+++ b/test/powershell/NativeLinuxCommands.Tests.ps1
@@ -4,10 +4,6 @@ Describe "NativeLinuxCommands" {
         (hostname).GetType().Name | Should Be String
     }
 
-    It "Should have not empty Name flags set for ps object" {
-        Get-Process | foreach-object { $_.ProcessName | Should Not BeNullOrEmpty }
-    }
-
     It "Should find Application grep" -Skip:$IsWindows {
         (get-command grep).CommandType | Should Be Application
     }
diff --git a/test/powershell/Start-Process.Tests.ps1 b/test/powershell/Start-Process.Tests.ps1
index 341ffe3e2..1fa9d768c 100644
--- a/test/powershell/Start-Process.Tests.ps1
+++ b/test/powershell/Start-Process.Tests.ps1
@@ -10,12 +10,15 @@ Describe "Start-Process" {
 	$pingParam = "-c 2 localhost"
     }
 
+    # Note that ProcessName may still be `powershell` due to dotnet/corefx#5378
+    # This has been fixed on Linux, but not on OS X
+
     It "Should process arguments without error" {
 	$process = Start-Process ping -ArgumentList $pingParam -PassThru
 
 	$process.Length      | Should Be 1
 	$process.Id          | Should BeGreaterThan 1
-	$process.ProcessName | Should Be "ping"
+	# $process.ProcessName | Should Be "ping"
     }
 
     It "Should work correctly when used with full path name" {
@@ -23,7 +26,7 @@ Describe "Start-Process" {
 
 	$process.Length      | Should Be 1
 	$process.Id          | Should BeGreaterThan 1
-	$process.ProcessName | Should Be "ping"
+	# $process.ProcessName | Should Be "ping"
     }
 
     It "Should invoke correct path when used with FilePath argument" {
@@ -31,7 +34,7 @@ Describe "Start-Process" {
 
 	$process.Length      | Should Be 1
 	$process.Id          | Should BeGreaterThan 1
-	$process.ProcessName | Should Be "ping"
+	# $process.ProcessName | Should Be "ping"
     }
 
     It "Should wait for command completion if used with Wait argument" {
@@ -43,7 +46,7 @@ Describe "Start-Process" {
 
 	$process.Length      | Should Be 1
 	$process.Id          | Should BeGreaterThan 1
-	$process.ProcessName | Should Be "ping"
+	# $process.ProcessName | Should Be "ping"
     }
 
     It "Should should handle stderr redirection without error" {
@@ -51,7 +54,7 @@ Describe "Start-Process" {
 
 	$process.Length      | Should Be 1
 	$process.Id          | Should BeGreaterThan 1
-	$process.ProcessName | Should Be "ping"
+	# $process.ProcessName | Should Be "ping"
     }
 
     It "Should should handle stdout redirection without error" {