diff --git a/src/briefcase/integrations/subprocess.py b/src/briefcase/integrations/subprocess.py
index b470b9580..1f05e71a7 100644
--- a/src/briefcase/integrations/subprocess.py
+++ b/src/briefcase/integrations/subprocess.py
@@ -493,7 +493,7 @@ def _stream_output_thread(self, popen_process):
                 output_line = ensure_str(popen_process.stdout.readline())
                 if output_line:
                     self.tools.logger.info(output_line)
-                elif output_line == "":
+                else:
                     return
 
     def cleanup(self, label, popen_process):
diff --git a/tests/console/test_Log.py b/tests/console/test_Log.py
index ac0d1dfd1..9660f78b0 100644
--- a/tests/console/test_Log.py
+++ b/tests/console/test_Log.py
@@ -58,14 +58,23 @@ def test_save_log_to_file_no_exception(tmp_path, now):
     logger.save_log = True
     logger.debug("this is debug output")
     logger.info("this is info output")
-    logger.info("this is [bold]info output with markup[/bold]")
-    logger.info("this is [bold]info output with escaped markup[/bold]", markup=True)
     logger.warning("this is warning output")
     logger.error("this is error output")
     logger.print("this is print output")
     logger.print.to_log("this is log output")
     logger.print.to_console("this is console output")
 
+    logger.info("this is [bold]info output with markup[/bold]")
+    logger.info(
+        "this is [bold]info output with markup and a prefix[/bold]", prefix="wibble"
+    )
+    logger.info("this is [bold]info output with escaped markup[/bold]", markup=True)
+    logger.info(
+        "this is [bold]info output with escaped markup and a prefix[/bold]",
+        prefix="wibble",
+        markup=True,
+    )
+
     logger.save_log_to_file(command=command)
 
     log_filepath = tmp_path / "briefcase.2022_06_25-16_12_29.dev.log"