diff --git a/.github/scripts/check-markdown.mjs b/.github/scripts/check-markdown.mjs
index a21c09d1b..89f88c9e5 100644
--- a/.github/scripts/check-markdown.mjs
+++ b/.github/scripts/check-markdown.mjs
@@ -4,6 +4,10 @@
  * Current checks:
  * - H1 headings (# ...): the H1 is already generated from the `title` field
  *   in the frontmatter, so adding a `#` heading manually creates a duplicate.
+ * - Absolute URLs to the published site: links beginning with
+ *   https://design-history.prevention-services.nhs.uk/ should use
+ *   relative URLs instead, so that they work in previews and in case the URL
+ *   changes in future.
  *
  * When run directly, scans all markdown files under app/:
  *   npm run check:markdown
@@ -24,6 +28,13 @@ const H1_MESSAGE =
   'If this heading duplicates the title, remove it. ' +
   'If it is a different heading, change it to an H2 using `##`.'
 
+const SITE_URL = 'https://design-history.prevention-services.nhs.uk/'
+
+const ABSOLUTE_URL_MESSAGE =
+  'Use a relative URL instead of a full URL for links to other posts on the site.\n\n' +
+  'This means that the links will work in previews, and in case the site domain name changes in future.\n\n' +
+  'For example, replace `https://design-history.prevention-services.nhs.uk/some/path/` with `/some/path/`.'
+
 /**
  * Recursively finds all .md files under the given directory.
  *
@@ -56,6 +67,9 @@ export function scanAllFiles() {
       if (/^# /.test(lines[i])) {
         mistakes.push({ path: filePath, line: i + 1, message: H1_MESSAGE })
       }
+      if (lines[i].includes('](' + SITE_URL)) {
+        mistakes.push({ path: filePath, line: i + 1, message: ABSOLUTE_URL_MESSAGE })
+      }
     }
   }
 
@@ -106,6 +120,16 @@ export function getMistakes(baseRef) {
           message: H1_MESSAGE
         })
       }
+      // Added line containing an absolute URL to the published site
+      const lineContent = rawLine.slice(1)
+      if (lineContent.includes('](' + SITE_URL)) {
+        mistakes.push({
+          path: currentFile,
+          line: lineNumber,
+          message: ABSOLUTE_URL_MESSAGE,
+          suggestion: lineContent.replaceAll(SITE_URL, '/')
+        })
+      }
     } else if (!rawLine.startsWith('-')) {
       // Context line -- still advances the new-file line number
       lineNumber++
diff --git a/.github/scripts/pr-review.mjs b/.github/scripts/pr-review.mjs
index 8a2f67b87..221e1b63c 100644
--- a/.github/scripts/pr-review.mjs
+++ b/.github/scripts/pr-review.mjs
@@ -18,6 +18,18 @@ const { GITHUB_TOKEN, REPO, BASE_REF, PR_NUMBER, HEAD_SHA } = process.env
 
 const BOT_USER = 'github-actions[bot]'
 
+/**
+ * Builds the comment body for a mistake. If the mistake includes a suggestion,
+ * appends a GitHub suggestion block so the author can apply the fix in one click.
+ *
+ * @param {{ message: string, suggestion?: string }} mistake
+ * @returns {string}
+ */
+function commentBody({ message, suggestion }) {
+  if (!suggestion) return message
+  return `${message}\n\n\`\`\`suggestion\n${suggestion}\n\`\`\``
+}
+
 async function githubFetch(path, options = {}) {
   const response = await fetch(`https://api.github.com${path}`, {
     ...options,
@@ -56,7 +68,7 @@ const botComments = existingComments
 const staleComments = botComments.filter(
   (c) =>
     !mistakes.some(
-      (m) => m.path === c.path && m.line === c.line && m.message === c.body
+      (m) => m.path === c.path && m.line === c.line && commentBody(m) === c.body
     )
 )
 
@@ -107,16 +119,16 @@ if (mistakes.length === 0) {
 // Post new comments for mistakes that don't already have a comment
 const newComments = mistakes
   .filter(
-    ({ path, line, message }) =>
+    (m) =>
       !botComments.some(
-        (c) => c.path === path && c.line === line && c.body === message
+        (c) => c.path === m.path && c.line === m.line && c.body === commentBody(m)
       )
   )
-  .map(({ path, line, message }) => ({
-    path,
-    line,
+  .map((m) => ({
+    path: m.path,
+    line: m.line,
     side: 'RIGHT',
-    body: message
+    body: commentBody(m)
   }))
 
 if (newComments.length === 0) {