diff --git a/.github/SECURITY.md b/.github/SECURITY.md
index a5456a10..0e707776 100644
--- a/.github/SECURITY.md
+++ b/.github/SECURITY.md
@@ -2,13 +2,28 @@
 
 ## Supported Versions
 
-We provide security updates to all development branches and the current stable branch. Security updates apply to XZ Utils and our website at https://tukaani.org/xz.
+We provide security updates to the development branch and the stable
+branches. Security patches for old releases are available on the
+[project website](https://tukaani.org/xz).
 
 ## Reporting a Vulnerability
 
-If you have discovered a security vulnerability in this project, please report it
-privately. **Do not disclose it as a public issue.** This gives us time to work with you to fix the issue before public exposure, reducing the chance that the exploit will be used before a patch is released.
+If discover a security vulnerability in this project, please
+report it privately. **Do not disclose it as a public issue.** This gives
+us time to work with you to fix the issue before public exposure, reducing
+the chance that the exploit will be used before a patch is released.
 
-You may submit a report by emailing us at [xz@tukaani.org](mailto:xz@tukaani.org), or through [Security Advisories](https://github.com/tukaani-project/xz/security/advisories/new). While both options are available, we strongly encourage you to reach us by email. In any case, please provide a clear description of the vulnerability and its impact when contacting us.
+You may submit a report by emailing us at
+[xz@tukaani.org](mailto:xz@tukaani.org), or through
+[Security Advisories](https://github.com/tukaani-project/xz/security/advisories/new).
+While both options are available, we prefer email. In any case, please
+provide a clear description of the vulnerability including:
 
-This project is maintained by a team of volunteers on a reasonable-effort basis. As such, please give us at least 90 days to work on a fix before public exposure.
+- Affected versions of XZ Utils
+- Estimated severity (low, moderate, high, critical)
+- Steps to recreate the vulnerability
+- All relevant files (core dumps, build logs, input files, etc.)
+
+This project is maintained by a team of volunteers on a reasonable-effort
+basis. As such, please give us 90 days to work on a fix before
+public exposure.