diff --git a/crates/formats/src/odt/page_parts.rs b/crates/formats/src/odt/page_parts.rs
index e2d6af2c15..d400e5a99c 100644
--- a/crates/formats/src/odt/page_parts.rs
+++ b/crates/formats/src/odt/page_parts.rs
@@ -87,6 +87,9 @@ fn picture_plan(reads: &[SlotRead], pages: &Pages) -> Option<(Vec<u8>, (f32, f32
         return None;
     }
     let first = headers.first()?.pictures.first()?;
+    // A picture whose size can't be read is no watermark (`add` couldn't place it, and the frames
+    // taken out of the headers would be lost): it stays a header picture, as in the DOCX plan.
+    wordcraft_doc::watermark::own_size(&first.0)?;
     if !headers.iter().filter_map(|r| r.pictures.first()).all(|p| p.0 == first.0 && p.2 == first.2) {
         return None;
     }
diff --git a/crates/formats/src/odt/tests_more/headers.rs b/crates/formats/src/odt/tests_more/headers.rs
index ab5c89d07b..91e41fa5eb 100644
--- a/crates/formats/src/odt/tests_more/headers.rs
+++ b/crates/formats/src/odt/tests_more/headers.rs
@@ -420,6 +420,33 @@ fn a_picture_frame_in_the_headers_is_the_watermark_only_where_every_page_shows_i
     assert_eq!(part_pictures(&d).iter().map(|(_, n)| n).sum::<usize>(), 1);
 }
 
+#[test]
+fn a_picture_frame_of_unknown_size_is_not_a_watermark() {
+    // An EMF picture shows in a header, but its size isn't a raster's, which a watermark is sized
+    // from: the frames stay the pictures they are (taking them out would lose them).
+    let mut emf = vec![0u8; 88];
+    emf[0..4].copy_from_slice(&1u32.to_le_bytes());
+    emf[4..8].copy_from_slice(&88u32.to_le_bytes());
+    emf[24..40].copy_from_slice(&[0, 0, 0, 0, 0, 0, 0, 0, 0x10, 0x27, 0, 0, 0x10, 0x27, 0, 0]);
+    emf[40..44].copy_from_slice(&0x464D_4520u32.to_le_bytes());
+    assert!(wordcraft_doc::watermark::own_size(&emf).is_none());
+    let a = wm_frame("a.emf");
+    let pkg = watermark_package(&[(&a, ""), (&a, "")]);
+    let mut z = zip::ZipArchive::new(std::io::Cursor::new(&pkg)).unwrap();
+    let mut entries: Vec<(String, Vec<u8>)> = Vec::new();
+    for i in 0..z.len() {
+        let mut f = z.by_index(i).unwrap();
+        let mut b = Vec::new();
+        std::io::Read::read_to_end(&mut f, &mut b).unwrap();
+        entries.push((f.name().to_string(), b));
+    }
+    entries.push(("Pictures/a.emf".into(), emf));
+    let refs: Vec<(&str, &[u8])> = entries.iter().map(|(n, b)| (n.as_str(), b.as_slice())).collect();
+    let d = import(&crate::odt::tests::zip_of(&refs)).unwrap();
+    assert_eq!(d.settings.watermark, None);
+    assert_eq!(part_pictures(&d).iter().map(|(_, n)| n).sum::<usize>(), 2, "{:?}", part_pictures(&d));
+}
+
 #[test]
 fn a_watermark_added_to_an_odt_file_is_saved() {
     // Open an ODT, add a watermark, save as ODT: the watermark is written (the page setup was