diff --git a/crates/svg/src/import/files.rs b/crates/svg/src/import/files.rs
index 722d043d4..b6d488c9e 100644
--- a/crates/svg/src/import/files.rs
+++ b/crates/svg/src/import/files.rs
@@ -287,8 +287,10 @@ impl Files {
         if depth::xml_deeper_than(text, left) {
             return leave_out(&self.too_deep, true);
         }
-        let height = depth::height(&super::parse(text).ok()?, left);
-        let Some(height) = height else { return leave_out(&self.too_deep, true) };
+        let xml = super::parse(text).ok()?;
+        let Some(height) = depth::height(&xml, left) else { return leave_out(&self.too_deep, true) };
+        // usvg's parser would overflow on it, as on the SVG holding it (`import`).
+        super::convolve_matrices_ok(&xml).ok()?;
         self.note_text(text);
         self.depth.store(used + height, Ordering::Relaxed);
         let tree = usvg::Tree::from_data_nested(text.as_bytes(), opts);
@@ -462,6 +464,22 @@ mod tests {
         assert_eq!(read(MAX_ELEMENT_DEPTH, 0), (false, 1));
     }
 
+    /// An SVG image with a `feConvolveMatrix` order usvg's multiply overflows is left out before
+    /// usvg reads it, as the SVG holding it would be refused.
+    #[test]
+    fn svg_images_with_an_overflowing_convolve_order_are_left_out() {
+        let read = |order: &str| {
+            let svg = format!(
+                r#"<svg xmlns="http://www.w3.org/2000/svg" width="4" height="4"><filter id="f"><feConvolveMatrix order="{order}" kernelMatrix="1"/></filter><rect width="4" height="4" filter="url(#f)"/></svg>"#
+            );
+            let files = Files::default();
+            let resolver = files.resolver(1);
+            matches!((resolver.resolve_data)("image/svg+xml", Arc::new(svg.into_bytes()), &usvg::Options::default()), Some(ImageKind::SVG(_)))
+        };
+        assert!(!read("2147483647"));
+        assert!(read("1"));
+    }
+
     #[test]
     fn the_placeholder_is_a_png() {
         let png = marker().unwrap();