diff --git a/coverage/html.py b/coverage/html.py
index 570760604..4e594343c 100644
--- a/coverage/html.py
+++ b/coverage/html.py
@@ -13,6 +13,7 @@
 import re
 import shutil
 import string  # pylint: disable=deprecated-module
+import sys
 
 from dataclasses import dataclass
 from typing import Any, Dict, Iterable, List, Optional, Tuple, TYPE_CHECKING, cast
@@ -493,7 +494,14 @@ def index_file(self, first_html: str, final_html: str) -> None:
 
         index_file = os.path.join(self.directory, "index.html")
         write_html(index_file, html)
-        self.coverage._message(f"Wrote HTML report to {index_file}")
+
+        if sys.stdout.isatty():
+            file_path = f"file://{os.path.abspath(index_file)}"
+            print_path = f"\033]8;;{file_path}\a{index_file}\033]8;;\a"
+        else:
+            print_path = index_file
+
+        self.coverage._message(f"Wrote HTML report to {print_path}")
 
         # Write the latest hashes for next time.
         self.incr.write()
diff --git a/coverage/report.py b/coverage/report.py
index 09eed0a82..1e14eb78e 100644
--- a/coverage/report.py
+++ b/coverage/report.py
@@ -5,6 +5,7 @@
 
 from __future__ import annotations
 
+import os
 import sys
 
 from typing import Callable, Iterable, Iterator, IO, Optional, Tuple, TYPE_CHECKING
@@ -58,7 +59,12 @@ def render_report(
     try:
         ret = reporter.report(morfs, outfile=outfile)
         if file_to_close is not None:
-            msgfn(f"Wrote {reporter.report_type} to {output_path}")
+            if sys.stdout.isatty():
+                file_path = f"file://{os.path.abspath(output_path)}"
+                print_path = f"\033]8;;{file_path}\a{output_path}\033]8;;\a"
+            else:
+                print_path = output_path
+            msgfn(f"Wrote {reporter.report_type} to {print_path}")
         delete_file = False
         return ret
     finally: