diff --git a/x-pack/plugin/core/src/main/java/org/elasticsearch/index/engine/frozen/FrozenEngine.java b/x-pack/plugin/core/src/main/java/org/elasticsearch/index/engine/frozen/FrozenEngine.java
index 9794c123ca5eb..3b242ca94ac61 100644
--- a/x-pack/plugin/core/src/main/java/org/elasticsearch/index/engine/frozen/FrozenEngine.java
+++ b/x-pack/plugin/core/src/main/java/org/elasticsearch/index/engine/frozen/FrozenEngine.java
@@ -63,8 +63,6 @@ public final class FrozenEngine extends ReadOnlyEngine {
     );
     private final SegmentsStats segmentsStats;
     private final DocsStats docsStats;
-    private final DenseVectorStats denseVectorStats;
-    private final SparseVectorStats sparseVectorStats;
     private volatile ElasticsearchDirectoryReader lastOpenedReader;
     private final ElasticsearchDirectoryReader canMatchReader;
     private final Object cacheIdentity = new Object();
@@ -95,8 +93,6 @@ public FrozenEngine(
                 fillSegmentStats(segmentReader, true, segmentsStats);
             }
             this.docsStats = docsStats(reader);
-            this.denseVectorStats = denseVectorStats(reader, null);
-            this.sparseVectorStats = sparseVectorStats(reader, null);
             canMatchReader = ElasticsearchDirectoryReader.wrap(
                 new RewriteCachingDirectoryReader(directory, reader.leaves(), null),
                 config.getShardId()
@@ -335,12 +331,16 @@ public DocsStats docStats() {
 
     @Override
     public DenseVectorStats denseVectorStats(MappingLookup mappingLookup) {
-        return denseVectorStats;
+        // We could cache the result on first call but dense vectors on frozen tier
+        // are very unlikely, so we just don't count them in the stats.
+        return new DenseVectorStats(0);
     }
 
     @Override
     public SparseVectorStats sparseVectorStats(MappingLookup mappingLookup) {
-        return sparseVectorStats;
+        // We could cache the result on first call but sparse vectors on frozen tier
+        // are very unlikely, so we just don't count them in the stats.
+        return new SparseVectorStats(0);
     }
 
     synchronized boolean isReaderOpen() {