diff --git a/src/libraries/System.Diagnostics.Process/tests/ProcessTests.Unix.cs b/src/libraries/System.Diagnostics.Process/tests/ProcessTests.Unix.cs
index 99272c05f0c2e3..a1d5d4f50f2512 100644
--- a/src/libraries/System.Diagnostics.Process/tests/ProcessTests.Unix.cs
+++ b/src/libraries/System.Diagnostics.Process/tests/ProcessTests.Unix.cs
@@ -159,9 +159,9 @@ public void ProcessStart_UseShellExecute_OnUnix_SuccessWhenProgramInstalled(bool
         [PlatformSpecific(~TestPlatforms.OSX)] // On OSX, ProcessName returns the script interpreter.
         public void ProcessNameMatchesScriptName()
         {
-            string scriptName = GetTestFileName();
+            const string scriptName = nameof(ProcessNameMatchesScriptName);
             string filename = Path.Combine(TestDirectory, scriptName);
-            File.WriteAllText(filename, $"#!/bin/sh\nsleep 600\n"); // sleep 10 min.
+            File.WriteAllText(filename, $"#!/bin/sh\n/bin/sleep 600\n"); // sleep 10 min.
             ChMod(filename, "744"); // set x-bit
 
             using (var process = Process.Start(new ProcessStartInfo { FileName = filename }))
@@ -171,14 +171,26 @@ public void ProcessNameMatchesScriptName()
                     string stat = File.ReadAllText($"/proc/{process.Id}/stat");
                     Assert.Contains($"({scriptName.Substring(0, 15)})", stat);
                     string cmdline = File.ReadAllText($"/proc/{process.Id}/cmdline");
-                    Assert.Equal($"/bin/sh\0{filename}\0", cmdline);
 
-                    Assert.Equal(scriptName, process.ProcessName);
+                    // cmdLine can sometimes be null: https://github.com/dotnet/runtime/issues/13757
+                    // according to docs, it's when the process is a zombie: https://man7.org/linux/man-pages/man5/proc.5.html
+                    if (string.IsNullOrEmpty(cmdline))
+                    {
+                        Assert.True(process.HasExited, $"/proc/{process.Id}/cmdline was empty, but the process was not a zombie");
+                    }
+                    else
+                    {
+                        Assert.Equal($"/bin/sh\0{filename}\0", cmdline);
+                        Assert.Equal(scriptName, process.ProcessName);
+                    }
                 }
                 finally
                 {
-                    process.Kill();
-                    process.WaitForExit();
+                    if (!process.HasExited)
+                    {
+                        process.Kill();
+                        process.WaitForExit();
+                    }
                 }
             }
         }