diff --git a/crates/svg/src/import/importer.rs b/crates/svg/src/import/importer.rs
index 5b96ea5bd..2e3bc14c2 100644
--- a/crates/svg/src/import/importer.rs
+++ b/crates/svg/src/import/importer.rs
@@ -664,7 +664,7 @@ impl Importer {
             return None;
         }
         if self.nested_svg_images >= crate::MAX_NESTED_SVG_IMAGES {
-            self.error = Some(SvgError::TooLarge(self.max_nodes));
+            self.error = Some(SvgError::TooManyImages(crate::MAX_NESTED_SVG_IMAGES));
             return None;
         }
         self.nested_svg_images += 1;
@@ -682,3 +682,47 @@ impl Importer {
         art
     }
 }
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+    use crate::import::files::Files;
+    use crate::import::text::TextSlots;
+    use std::collections::{HashMap, HashSet};
+    use vectorcraft_doc::Document;
+
+    #[test]
+    fn svg_image_cap_sets_too_many_images_error() {
+        let mut im = Importer {
+            doc: Document::new(100.0, 100.0),
+            warnings: vec![],
+            mask_flags: HashMap::new(),
+            links: HashMap::new(),
+            slots: TextSlots::default(),
+            patterns: HashMap::new(),
+            midpoints: HashMap::new(),
+            labels: HashMap::new(),
+            hidden: HashSet::new(),
+            uses: HashMap::new(),
+            symbols: HashMap::new(),
+            blends: HashMap::new(),
+            files: Files::default(),
+            non_scaling: HashSet::new(),
+            data: HashMap::new(),
+            events: HashMap::new(),
+            foreign: HashMap::new(),
+            sublayers: HashSet::new(),
+            sublayer_groups: HashSet::new(),
+            screen: 1.0,
+            converted_nodes: 0,
+            max_nodes: 1000,
+            error: None,
+            nested_svg_images: crate::MAX_NESTED_SVG_IMAGES,
+        };
+        let tree = usvg::Tree::from_str(r#"<svg xmlns="http://www.w3.org/2000/svg"/>"#, &usvg::Options::default()).unwrap();
+        let res = im.svg_image(&tree, Affine::IDENTITY);
+        assert!(res.is_none());
+        assert!(matches!(im.error, Some(SvgError::TooManyImages(crate::MAX_NESTED_SVG_IMAGES))));
+        assert_eq!(im.error.unwrap().to_string(), "the SVG expands to more than 256 nested SVG images");
+    }
+}
diff --git a/crates/svg/src/import/text.rs b/crates/svg/src/import/text.rs
index a922a70e3..0e26fc524 100644
--- a/crates/svg/src/import/text.rs
+++ b/crates/svg/src/import/text.rs
@@ -162,6 +162,7 @@ pub(super) struct PendingText {
 }
 
 /// The texts [`prepare`] replaced, by placeholder index.
+#[derive(Default)]
 pub(super) struct TextSlots {
     prefix: String,
     pub texts: Vec<PendingText>,
diff --git a/crates/svg/src/lib.rs b/crates/svg/src/lib.rs
index 7a0c5ddf9..ccc154a38 100644
--- a/crates/svg/src/lib.rs
+++ b/crates/svg/src/lib.rs
@@ -347,6 +347,10 @@ pub enum SvgError {
     /// nested-image expansion bombs, #3564).
     #[error("the SVG expands to more than {0} objects")]
     TooLarge(usize),
+    /// The SVG expands to more nested SVG images than the reader takes (a guard against
+    /// nested-image expansion bombs, #3564).
+    #[error("the SVG expands to more than {0} nested SVG images")]
+    TooManyImages(usize),
 }
 
 /// Export a document as an SVG string (linked images are not returned: see [`export_full`]).