diff --git a/live-build/auto/build b/live-build/auto/build
index 9911708f..6704327e 100755
--- a/live-build/auto/build
+++ b/live-build/auto/build
@@ -430,9 +430,16 @@ serial: $BUILDSTAMP
 EOF
 		fi
 
-		if [ "$PROJECT" = "ubuntu-oci" ]; then
+		if [ "${PROJECT}" = ubuntu-base ] || [ "${PROJECT}" = "ubuntu-oci" ]; then
 			if [ -n "$BUILDSTAMP" ]; then
-				configure_oci chroot "$BUILDSTAMP"
+				mkdir -p chroot/etc/cloud
+				cat > chroot/etc/cloud/build.info << EOF
+build_name: $PROJECT:${SUBPROJECT:}
+serial: $BUILDSTAMP
+EOF
+				if [ "${PROJECT}" = "ubuntu-oci" ]; then
+					configure_oci chroot "$BUILDSTAMP"
+				fi
 			else
 				echo "The \$BUILDSTAMP variable is empty"
 				exit 1
diff --git a/live-build/functions b/live-build/functions
index 695344eb..99c4708e 100644
--- a/live-build/functions
+++ b/live-build/functions
@@ -970,13 +970,6 @@ configure_oci() {
     Chroot ${chroot} "chmod +x /usr/sbin/policy-rc.d"
 
 
-    # Inject a build stamp into the image
-    mkdir -p ${chroot}/etc/cloud
-    cat > ${chroot}/etc/cloud/build.info << EOF
-serial: $serial
-EOF
-
-
     # https://github.com/docker/docker/blob/9a9fc01af8fb5d98b8eec0740716226fadb3735c/contrib/mkimage/debootstrap#L54-L56
     Chroot ${chroot} "dpkg-divert --local --rename --add /sbin/initctl"
     cp -a ${chroot}/usr/sbin/policy-rc.d ${chroot}/sbin/initctl