diff --git a/milli/src/update/index_documents/extract/extract_word_pair_proximity_docids.rs b/milli/src/update/index_documents/extract/extract_word_pair_proximity_docids.rs
index 847da01c5..70865acbe 100644
--- a/milli/src/update/index_documents/extract/extract_word_pair_proximity_docids.rs
+++ b/milli/src/update/index_documents/extract/extract_word_pair_proximity_docids.rs
@@ -6,8 +6,8 @@ use std::{cmp, io};
 use obkv::KvReaderU16;
 
 use super::helpers::{
-    create_sorter, merge_cbo_roaring_bitmaps, sorter_into_reader, try_split_array_at,
-    GrenadParameters, MergeFn,
+    create_sorter, create_writer, merge_cbo_roaring_bitmaps, sorter_into_reader,
+    try_split_array_at, writer_into_reader, GrenadParameters, MergeFn,
 };
 use crate::error::SerializationError;
 use crate::index::db_name::DOCID_WORD_POSITIONS;
@@ -27,14 +27,19 @@ pub fn extract_word_pair_proximity_docids<R: io::Read + io::Seek>(
 
     let max_memory = indexer.max_memory_by_thread();
 
-    let mut word_pair_proximity_docids_sorter = create_sorter(
-        grenad::SortAlgorithm::Unstable,
-        merge_cbo_roaring_bitmaps,
-        indexer.chunk_compression_type,
-        indexer.chunk_compression_level,
-        indexer.max_nb_chunks,
-        max_memory.map(|m| m / 2),
-    );
+    let mut word_pair_proximity_docids_sorters: Vec<_> = (1..MAX_DISTANCE)
+        .into_iter()
+        .map(|_| {
+            create_sorter(
+                grenad::SortAlgorithm::Unstable,
+                merge_cbo_roaring_bitmaps,
+                indexer.chunk_compression_type,
+                indexer.chunk_compression_level,
+                indexer.max_nb_chunks,
+                max_memory.map(|m| m / MAX_DISTANCE as usize),
+            )
+        })
+        .collect();
 
     let mut word_positions: VecDeque<(String, u16)> =
         VecDeque::with_capacity(MAX_DISTANCE as usize);
@@ -49,6 +54,7 @@ pub fn extract_word_pair_proximity_docids<R: io::Read + io::Seek>(
 
         // if we change document, we fill the sorter
         if current_document_id.map_or(false, |id| id != document_id) {
+            puffin::profile_scope!("Document into sorter");
             while !word_positions.is_empty() {
                 word_positions_into_word_pair_proximity(
                     &mut word_positions,
@@ -59,7 +65,7 @@ pub fn extract_word_pair_proximity_docids<R: io::Read + io::Seek>(
             document_word_positions_into_sorter(
                 current_document_id.unwrap(),
                 &word_pair_proximity,
-                &mut word_pair_proximity_docids_sorter,
+                &mut word_pair_proximity_docids_sorters,
             )?;
             word_pair_proximity.clear();
             word_positions.clear();
@@ -85,6 +91,7 @@ pub fn extract_word_pair_proximity_docids<R: io::Read + io::Seek>(
     }
 
     if let Some(document_id) = current_document_id {
+        puffin::profile_scope!("Final document into sorter");
         while !word_positions.is_empty() {
             word_positions_into_word_pair_proximity(&mut word_positions, &mut word_pair_proximity)?;
         }
@@ -92,11 +99,23 @@ pub fn extract_word_pair_proximity_docids<R: io::Read + io::Seek>(
         document_word_positions_into_sorter(
             document_id,
             &word_pair_proximity,
-            &mut word_pair_proximity_docids_sorter,
+            &mut word_pair_proximity_docids_sorters,
         )?;
     }
+    {
+        puffin::profile_scope!("sorter_into_reader");
+        let mut writer = create_writer(
+            indexer.chunk_compression_type,
+            indexer.chunk_compression_level,
+            tempfile::tempfile()?,
+        );
 
-    sorter_into_reader(word_pair_proximity_docids_sorter, indexer)
+        for sorter in word_pair_proximity_docids_sorters {
+            sorter.write_into_stream_writer(&mut writer)?;
+        }
+
+        writer_into_reader(writer)
+    }
 }
 
 /// Fills the list of all pairs of words with the shortest proximity between 1 and 7 inclusive.
@@ -106,9 +125,8 @@ pub fn extract_word_pair_proximity_docids<R: io::Read + io::Seek>(
 fn document_word_positions_into_sorter(
     document_id: DocumentId,
     word_pair_proximity: &HashMap<(String, String), u8>,
-    word_pair_proximity_docids_sorter: &mut grenad::Sorter<MergeFn>,
+    word_pair_proximity_docids_sorters: &mut Vec<grenad::Sorter<MergeFn>>,
 ) -> Result<()> {
-    puffin::profile_function!();
     let mut key_buffer = Vec::new();
     for ((w1, w2), prox) in word_pair_proximity {
         key_buffer.clear();
@@ -117,7 +135,8 @@ fn document_word_positions_into_sorter(
         key_buffer.push(0);
         key_buffer.extend_from_slice(w2.as_bytes());
 
-        word_pair_proximity_docids_sorter.insert(&key_buffer, document_id.to_ne_bytes())?;
+        word_pair_proximity_docids_sorters[*prox as usize - 1]
+            .insert(&key_buffer, document_id.to_ne_bytes())?;
     }
 
     Ok(())
@@ -127,16 +146,17 @@ fn word_positions_into_word_pair_proximity(
     word_positions: &mut VecDeque<(String, u16)>,
     word_pair_proximity: &mut HashMap<(String, String), u8>,
 ) -> Result<()> {
-    puffin::profile_function!();
     let (head_word, head_position) = word_positions.pop_front().unwrap();
     for (word, position) in word_positions.iter() {
         let prox = index_proximity(head_position as u32, *position as u32) as u8;
-        word_pair_proximity
-            .entry((head_word.clone(), word.clone()))
-            .and_modify(|p| {
-                *p = cmp::min(*p, prox);
-            })
-            .or_insert(prox);
+        if prox > 0 && prox < MAX_DISTANCE as u8 {
+            word_pair_proximity
+                .entry((head_word.clone(), word.clone()))
+                .and_modify(|p| {
+                    *p = cmp::min(*p, prox);
+                })
+                .or_insert(prox);
+        }
     }
     Ok(())
 }