diff --git a/TODO b/TODO
index 8bb9fcbe..5bf49fe6 100644
--- a/TODO
+++ b/TODO
@@ -19,10 +19,6 @@ Pending changes:
 
 * Consider also exposing a way to set a new logger and to get the
   logger from QPDF and QPDFJob in the C API.
-* Check about runpath in the linux-bin distribution. I think the
-  appimage build specifically is setting the runpath, which is
-  actually desirable in this case. Make sure to understand and
-  document this. Maybe add a check for it in the build.
 
 Soon: Break ground on "Document-level work"
 
diff --git a/build-scripts/build-appimage b/build-scripts/build-appimage
index 3ba7175e..a9fba23c 100755
--- a/build-scripts/build-appimage
+++ b/build-scripts/build-appimage
@@ -26,6 +26,13 @@ done
 version=$(basename distribution/qpdf*AppImage | cut -d- -f 2)
 ./distribution/qpdf*AppImage --appimage-extract
 D=$PWD/distribution
+if ! (readelf -d squashfs-root/usr/bin/qpdf | \
+          grep RUNPATH | grep -q -F ..); then
+    # We are relying on the AppImage build to create an executable
+    # whose runpath is relative to the binary so that the extract zip
+    # file is relocatable.
+    echo "Standalone linux binary lacks relative RUNPATH"
+fi
 (cd squashfs-root/usr; \
  zip -9 --symlinks $D/qpdf-$version-bin-linux-x86_64-ci.zip \
      bin/{qpdf,fix-qdf,zlib-flate} lib/*)