diff --git a/test/external-modules/esql-heap-attack/src/javaRestTest/java/org/elasticsearch/xpack/esql/heap_attack/HeapAttackIT.java b/test/external-modules/esql-heap-attack/src/javaRestTest/java/org/elasticsearch/xpack/esql/heap_attack/HeapAttackIT.java
index 3912a63ef1514..74b7d307c384c 100644
--- a/test/external-modules/esql-heap-attack/src/javaRestTest/java/org/elasticsearch/xpack/esql/heap_attack/HeapAttackIT.java
+++ b/test/external-modules/esql-heap-attack/src/javaRestTest/java/org/elasticsearch/xpack/esql/heap_attack/HeapAttackIT.java
@@ -585,6 +585,56 @@ public void testFetchTooManyBigFields() throws IOException {
         assertCircuitBreaks(attempt -> fetchManyBigFields(attempt * 500));
     }
 
+    public void testStatsOnLargeKeywords() throws IOException {
+        initVeryLargeText(450, 1, 3_000_000, 1);
+        StringBuilder query = startQuery();
+        query.append("FROM large_text_idx | STATS SUM(LENGTH(large_text0))\"}");
+        assertCircuitBreaks(attempt -> responseAsMap(query(query.toString(), "columns")));
+    }
+
+    private void initVeryLargeText(int docs, int nFields, int fieldSize, int docsPerBulk) throws IOException {
+        logger.info("loading many documents a very large string field");
+        Request request = new Request("PUT", "/large_text_idx");
+        XContentBuilder config = JsonXContent.contentBuilder().startObject();
+        config.startObject("mappings").startObject("properties");
+        for (int i = 0; i < nFields; i++) {
+            config.startObject("large_text" + i).field("type", "text").endObject();
+        }
+
+        config.endObject().endObject();
+        request.setJsonEntity(Strings.toString(config.endObject()));
+        Response response = client().performRequest(request);
+        assertThat(
+            EntityUtils.toString(response.getEntity(), StandardCharsets.UTF_8),
+            equalTo("{\"acknowledged\":true,\"shards_acknowledged\":true,\"index\":\"large_text_idx\"}")
+        );
+
+        StringBuilder bulk = new StringBuilder();
+        for (int d = 0; d < docs; d++) {
+            bulk.append("{ \"index\" : { \"_index\" : \"large_text_idx\"} }\n");
+
+            bulk.append('{');
+            for (int i = 0; i < nFields; i++) {
+                if (i > 0) {
+                    bulk.append(",");
+                }
+                bulk.append('"').append("").append("large_text" + i).append("\": \"");
+                bulk.append(randomAlphanumericOfLength(fieldSize));
+                bulk.append('"');
+            }
+
+            bulk.append("}\n");
+            if (d % docsPerBulk == docsPerBulk - 1 && d != docs - 1) {
+                bulk("large_text_idx", bulk.toString());
+                bulk.setLength(0);
+                logger.error("loaded {} docs", d);
+            }
+        }
+        if (bulk.length() > 0) {
+            bulk("large_text_idx", bulk.toString());
+        }
+    }
+
     /**
      * Fetches documents containing 1000 fields which are {@code 1kb} each.
      */
diff --git a/x-pack/plugin/esql/compute/src/main/java/org/elasticsearch/compute/data/AbstractBlockBuilder.java b/x-pack/plugin/esql/compute/src/main/java/org/elasticsearch/compute/data/AbstractBlockBuilder.java
index 4755b1d609cfb..31b2af8750fe4 100644
--- a/x-pack/plugin/esql/compute/src/main/java/org/elasticsearch/compute/data/AbstractBlockBuilder.java
+++ b/x-pack/plugin/esql/compute/src/main/java/org/elasticsearch/compute/data/AbstractBlockBuilder.java
@@ -166,7 +166,7 @@ public final void close() {
      */
     protected void extraClose() {}
 
-    protected void adjustBreaker(long deltaBytes) {
+    public void adjustBreaker(long deltaBytes) {
         blockFactory.adjustBreaker(deltaBytes);
         estimatedBytes += deltaBytes;
         assert estimatedBytes >= 0;
diff --git a/x-pack/plugin/esql/compute/src/main/java/org/elasticsearch/compute/lucene/ValuesSourceReaderOperator.java b/x-pack/plugin/esql/compute/src/main/java/org/elasticsearch/compute/lucene/ValuesSourceReaderOperator.java
index 500bef6d2a597..2aa8ac6274ca5 100644
--- a/x-pack/plugin/esql/compute/src/main/java/org/elasticsearch/compute/lucene/ValuesSourceReaderOperator.java
+++ b/x-pack/plugin/esql/compute/src/main/java/org/elasticsearch/compute/lucene/ValuesSourceReaderOperator.java
@@ -16,6 +16,7 @@
 import org.elasticsearch.common.io.stream.NamedWriteableRegistry;
 import org.elasticsearch.common.io.stream.StreamInput;
 import org.elasticsearch.common.io.stream.StreamOutput;
+import org.elasticsearch.compute.data.AbstractBlockBuilder;
 import org.elasticsearch.compute.data.Block;
 import org.elasticsearch.compute.data.BlockFactory;
 import org.elasticsearch.compute.data.BytesRefBlock;
@@ -517,7 +518,15 @@ private record RowStrideReaderWork(BlockLoader.RowStrideReader reader, Block.Bui
         implements
             Releasable {
         void read(int doc, BlockLoaderStoredFieldsFromLeafLoader storedFields) throws IOException {
-            reader.read(doc, storedFields, builder);
+            int size = storedFields.source() == null ? -1 : storedFields.source().internalSourceRef().length();
+            if (size > 500_000 && builder instanceof AbstractBlockBuilder ab) {
+                // accounting for twice the source size, one for the binary, one for the map
+                ab.adjustBreaker(size * 2);
+                reader.read(doc, storedFields, builder);
+                ab.adjustBreaker(-size * 2);
+            } else {
+                reader.read(doc, storedFields, builder);
+            }
         }
 
         Block build() {