diff --git a/meilisearch/tests/search/hybrid.rs b/meilisearch/tests/search/hybrid.rs
index 85bc96d86..8decb7ded 100644
--- a/meilisearch/tests/search/hybrid.rs
+++ b/meilisearch/tests/search/hybrid.rs
@@ -87,6 +87,38 @@ async fn simple_search() {
     snapshot!(response["hits"], @r###"[{"title":"Captain Marvel","desc":"a Shazam ersatz","id":"3","_vectors":{"default":[2.0,3.0]},"_semanticScore":0.99029034},{"title":"Captain Planet","desc":"He's not part of the Marvel Cinematic Universe","id":"2","_vectors":{"default":[1.0,2.0]},"_semanticScore":0.97434163},{"title":"Shazam!","desc":"a Captain Marvel ersatz","id":"1","_vectors":{"default":[1.0,3.0]},"_semanticScore":0.9472136}]"###);
 }
 
+#[actix_rt::test]
+async fn distribution_shift() {
+    let server = Server::new().await;
+    let index = index_with_documents(&server, &SIMPLE_SEARCH_DOCUMENTS).await;
+
+    let search = json!({"q": "Captain", "vector": [1.0, 1.0], "showRankingScore": true, "hybrid": {"semanticRatio": 1.0}});
+    let (response, code) = index.search_post(search.clone()).await;
+    snapshot!(code, @"200 OK");
+    snapshot!(response["hits"], @r###"[{"title":"Captain Marvel","desc":"a Shazam ersatz","id":"3","_vectors":{"default":[2.0,3.0]},"_rankingScore":0.990290343761444,"_semanticScore":0.99029034},{"title":"Captain Planet","desc":"He's not part of the Marvel Cinematic Universe","id":"2","_vectors":{"default":[1.0,2.0]},"_rankingScore":0.974341630935669,"_semanticScore":0.97434163},{"title":"Shazam!","desc":"a Captain Marvel ersatz","id":"1","_vectors":{"default":[1.0,3.0]},"_rankingScore":0.9472135901451112,"_semanticScore":0.9472136}]"###);
+
+    let (response, code) = index
+        .update_settings(json!({
+            "embedders": {
+                "default": {
+                    "distribution": {
+                        "mean": 0.998,
+                        "sigma": 0.01
+                    }
+                }
+            }
+        }))
+        .await;
+
+    snapshot!(code, @"202 Accepted");
+    let response = server.wait_task(response.uid()).await;
+    snapshot!(response["details"], @r###"{"embedders":{"default":{"distribution":{"mean":0.998,"sigma":0.01}}}}"###);
+
+    let (response, code) = index.search_post(search).await;
+    snapshot!(code, @"200 OK");
+    snapshot!(response["hits"], @r###"[{"title":"Captain Marvel","desc":"a Shazam ersatz","id":"3","_vectors":{"default":[2.0,3.0]},"_rankingScore":0.19161224365234375,"_semanticScore":0.19161224},{"title":"Captain Planet","desc":"He's not part of the Marvel Cinematic Universe","id":"2","_vectors":{"default":[1.0,2.0]},"_rankingScore":1.1920928955078125e-7,"_semanticScore":1.1920929e-7},{"title":"Shazam!","desc":"a Captain Marvel ersatz","id":"1","_vectors":{"default":[1.0,3.0]},"_rankingScore":1.1920928955078125e-7,"_semanticScore":1.1920929e-7}]"###);
+}
+
 #[actix_rt::test]
 async fn highlighter() {
     let server = Server::new().await;