diff --git a/spacy/pipeline/spancat.py b/spacy/pipeline/spancat.py
index 8d1be06c3..e2f53be0d 100644
--- a/spacy/pipeline/spancat.py
+++ b/spacy/pipeline/spancat.py
@@ -408,16 +408,21 @@ class SpanCategorizer(TrainablePipe):
         spans = SpanGroup(doc, name=self.key)
         max_positive = self.cfg["max_positive"]
         threshold = self.cfg["threshold"]
+
+        keeps = scores >= threshold
+        ranked = (scores * -1).argsort()
+        keeps[ranked[:, max_positive:]] = False
+        spans.attrs["scores"] = scores[keeps].flatten()
+
+        indices = self.model.ops.to_numpy(indices)
+        keeps = self.model.ops.to_numpy(keeps)
+
         for i in range(indices.shape[0]):
-            start = int(indices[i, 0])
-            end = int(indices[i, 1])
-            positives = []
-            for j, score in enumerate(scores[i]):
-                if score >= threshold:
-                    positives.append((score, start, end, labels[j]))
-            positives.sort(reverse=True)
-            if max_positive:
-                positives = positives[:max_positive]
-            for score, start, end, label in positives:
-                spans.append(Span(doc, start, end, label=label))
+            start = indices[i, 0]
+            end = indices[i, 1]
+
+            for j, keep in enumerate(keeps[i]):
+                if keep:
+                    spans.append(Span(doc, start, end, label=labels[j]))
+
         return spans
diff --git a/spacy/tests/pipeline/test_spancat.py b/spacy/tests/pipeline/test_spancat.py
index 6a5ae2c66..bf1c00041 100644
--- a/spacy/tests/pipeline/test_spancat.py
+++ b/spacy/tests/pipeline/test_spancat.py
@@ -85,12 +85,14 @@ def test_simple_train():
     doc = nlp("I like London and Berlin.")
     assert doc.spans[spancat.key] == doc.spans[SPAN_KEY]
     assert len(doc.spans[spancat.key]) == 2
+    assert len(doc.spans[spancat.key].attrs["scores"]) == 2
     assert doc.spans[spancat.key][0].text == "London"
     scores = nlp.evaluate(get_examples())
     assert f"spans_{SPAN_KEY}_f" in scores
     assert scores[f"spans_{SPAN_KEY}_f"] == 1.0
 
 
+
 def test_ngram_suggester(en_tokenizer):
     # test different n-gram lengths
     for size in [1, 2, 3]:
diff --git a/website/docs/api/spancategorizer.md b/website/docs/api/spancategorizer.md
index 57395846d..d37b2f23a 100644
--- a/website/docs/api/spancategorizer.md
+++ b/website/docs/api/spancategorizer.md
@@ -13,6 +13,22 @@ A span categorizer consists of two parts: a [suggester function](#suggesters)
 that proposes candidate spans, which may or may not overlap, and a labeler model
 that predicts zero or more labels for each candidate.
 
+Predicted spans will be saved in a [`SpanGroup`](/api/spangroup) on the doc.
+Individual span scores can be found in `spangroup.attrs["scores"]`.
+
+## Assigned Attributes {#assigned-attributes}
+
+Predictions will be saved to `Doc.spans[spans_key]` as a
+[`SpanGroup`](/api/spangroup). The scores for the spans in the `SpanGroup` will
+be saved in `SpanGroup.attrs["scores"]`.
+
+`spans_key` defaults to `"sc"`, but can be passed as a parameter.
+
+| Location                               | Value                                                    |
+| -------------------------------------- | -------------------------------------------------------- |
+| `Doc.spans[spans_key]`                 | The annotated spans. ~~SpanGroup~~                       |
+| `Doc.spans[spans_key].attrs["scores"]` | The score for each span in the `SpanGroup`. ~~Floats1d~~ |
+
 ## Config and implementation {#config}
 
 The default config is defined by the pipeline component factory and describes