diff --git a/milli/src/lib.rs b/milli/src/lib.rs
index 2a55b6f3a..a3cede1fd 100644
--- a/milli/src/lib.rs
+++ b/milli/src/lib.rs
@@ -21,7 +21,7 @@ use fxhash::{FxHasher32, FxHasher64};
 pub use grenad::CompressionType;
 use serde_json::{Map, Value};
 
-pub use self::criterion::{default_criteria, AscDesc, Criterion};
+pub use self::criterion::{default_criteria, AscDesc, Criterion, Member};
 pub use self::error::{
     Error, FieldIdMapMissingEntry, InternalError, SerializationError, UserError,
 };
diff --git a/milli/tests/search/mod.rs b/milli/tests/search/mod.rs
index c34434c4e..b4dfb3080 100644
--- a/milli/tests/search/mod.rs
+++ b/milli/tests/search/mod.rs
@@ -6,7 +6,7 @@ use either::{Either, Left, Right};
 use heed::EnvOpenOptions;
 use maplit::{hashmap, hashset};
 use milli::update::{Settings, UpdateBuilder, UpdateFormat};
-use milli::{AscDesc, Criterion, DocumentId, Index};
+use milli::{AscDesc, Criterion, DocumentId, Index, Member};
 use serde::Deserialize;
 use slice_group_by::GroupBy;
 
@@ -99,11 +99,11 @@ pub fn expected_order(
                     new_groups
                         .extend(group.linear_group_by_key(|d| d.proximity_rank).map(Vec::from));
                 }
-                Criterion::Sort if sort_by == [AscDesc::Asc(S("tag"))] => {
+                Criterion::Sort if sort_by == [AscDesc::Asc(Member::Field(S("tag")))] => {
                     group.sort_by_key(|d| d.sort_by_rank);
                     new_groups.extend(group.linear_group_by_key(|d| d.sort_by_rank).map(Vec::from));
                 }
-                Criterion::Sort if sort_by == [AscDesc::Desc(S("tag"))] => {
+                Criterion::Sort if sort_by == [AscDesc::Desc(Member::Field(S("tag")))] => {
                     group.sort_by_key(|d| Reverse(d.sort_by_rank));
                     new_groups.extend(group.linear_group_by_key(|d| d.sort_by_rank).map(Vec::from));
                 }
diff --git a/milli/tests/search/query_criteria.rs b/milli/tests/search/query_criteria.rs
index c9720d652..cc08ec863 100644
--- a/milli/tests/search/query_criteria.rs
+++ b/milli/tests/search/query_criteria.rs
@@ -163,28 +163,28 @@ test_criterion!(
     DISALLOW_OPTIONAL_WORDS,
     ALLOW_TYPOS,
     vec![Sort],
-    vec![AscDesc::Asc(S("tag"))]
+    vec![AscDesc::Asc(Member::Field(S("tag")))]
 );
 test_criterion!(
     sort_by_asc_disallow_typo,
     DISALLOW_OPTIONAL_WORDS,
     DISALLOW_TYPOS,
     vec![Sort],
-    vec![AscDesc::Asc(S("tag"))]
+    vec![AscDesc::Asc(Member::Field(S("tag")))]
 );
 test_criterion!(
     sort_by_desc_allow_typo,
     DISALLOW_OPTIONAL_WORDS,
     ALLOW_TYPOS,
     vec![Sort],
-    vec![AscDesc::Desc(S("tag"))]
+    vec![AscDesc::Desc(Member::Field(S("tag")))]
 );
 test_criterion!(
     sort_by_desc_disallow_typo,
     DISALLOW_OPTIONAL_WORDS,
     DISALLOW_TYPOS,
     vec![Sort],
-    vec![AscDesc::Desc(S("tag"))]
+    vec![AscDesc::Desc(Member::Field(S("tag")))]
 );
 test_criterion!(
     default_criteria_order,