diff --git a/skrub/_reporting/_serve.py b/skrub/_reporting/_serve.py
index 3cf9f44ea..b63c63e1d 100644
--- a/skrub/_reporting/_serve.py
+++ b/skrub/_reporting/_serve.py
@@ -5,10 +5,30 @@
 from socketserver import TCPServer
 from threading import Thread
 
-BROWSER_TIMEOUT_SECONDS = 3
+BROWSER_TIMEOUT_SECONDS = 5
 
 
 def open_in_browser(content):
+    """Display content (an HTML page as a string) in a web browser.
+
+    This function starts a local server in a separate thread, then asks the
+    webbrowser to open the corresponding URL. Once the server has received and
+    answered the browser's request, it shuts down. (Note this means that if the
+    user refreshes the page they will get a 'server not found' error.) If the
+    browser's request does not arrive after 5 seconds, the server is shut down
+    and a RuntimeError is raised saying that opening the content failed.
+
+    An alternative could be to write content in a temporary file and open it in
+    the browser. This approach would have several drawbacks:
+
+    - In some systems, firefox cannot open files in /tmp
+    - We would have the risk of cluttering the file system with left-behind
+      temporary files if the program gets killed before it removes it, or fails
+      to do so for some other reason.
+    - We would have the risk of removing the file before it gets opened.
+    - We would have no way to know if the operation succeeded and the file was
+      actually opened.
+    """
     encoded_content = content.encode("UTF-8")
     queue = Queue()
 
@@ -18,6 +38,8 @@ def log_message(self, *args):
 
         def do_GET(self):
             if not self.path.endswith("index.html"):
+                # We point the browser to index.html but it might issue other
+                # requests as well, typically for favicon.ico. We ignore those.
                 self.send_error(HTTPStatus.NOT_FOUND, "File not found")
                 return
             self.send_response(HTTPStatus.OK)
@@ -25,8 +47,11 @@ def do_GET(self):
             self.send_header("Content-Length", str(len(encoded_content)))
             self.end_headers()
             self.wfile.write(encoded_content)
+            # The browser has received the content, we can tell the main thread
+            # to shut down the server.
             queue.put("done")
 
+    # We let the OS choose the port to make sure the chosen one is free.
     server = TCPServer(("", 0), Handler)
     _, port = server.server_address
 
@@ -36,8 +61,12 @@ def do_GET(self):
     url = f"http://localhost:{port}/index.html"
     webbrowser.open(url)
     try:
+        # Wait for the server to put ``"done"`` in the queue, signalling it has
+        # sent the content to the browser.
         queue.get(timeout=BROWSER_TIMEOUT_SECONDS)
     except Empty:
+        # We reached the timeout without receiving anything from the server's
+        # thread -- something went wrong.
         raise RuntimeError("Failed to open report in a web browser.")
     server.shutdown()
     server_thread.join()