diff --git a/index-scheduler/src/batch.rs b/index-scheduler/src/batch.rs
index ba99eb418..506ba6581 100644
--- a/index-scheduler/src/batch.rs
+++ b/index-scheduler/src/batch.rs
@@ -1318,7 +1318,7 @@ impl IndexScheduler {
                     match operation {
                         DocumentOperation::Add(_content_uuid) => {
                             let mmap = content_files_iter.next().unwrap();
-                            let stats = indexer.add_documents(&mmap)?;
+                            let stats = indexer.add_documents(mmap)?;
                             // builder = builder.with_embedders(embedders.clone());
 
                             let received_documents =
diff --git a/milli/src/update/new/indexer/document_operation.rs b/milli/src/update/new/indexer/document_operation.rs
index 93e051aa2..3cbaf836d 100644
--- a/milli/src/update/new/indexer/document_operation.rs
+++ b/milli/src/update/new/indexer/document_operation.rs
@@ -4,6 +4,7 @@ use std::sync::Arc;
 
 use heed::types::Bytes;
 use heed::RoTxn;
+use memmap2::Mmap;
 use rayon::iter::{IntoParallelIterator, ParallelIterator};
 
 use super::super::document_change::DocumentChange;
@@ -50,9 +51,10 @@ impl<'pl> DocumentOperation<'pl> {
 
     /// TODO please give me a type
     /// The payload is expected to be in the grenad format
-    pub fn add_documents(&mut self, payload: &'pl [u8]) -> Result<PayloadStats> {
-        let document_count = memchr::Memchr::new(b'\n', payload).count();
-        self.operations.push(Payload::Addition(payload));
+    pub fn add_documents(&mut self, payload: &'pl Mmap) -> Result<PayloadStats> {
+        payload.advise(memmap2::Advice::Sequential)?;
+        let document_count = memchr::Memchr::new(b'\n', &payload[..]).count();
+        self.operations.push(Payload::Addition(&payload[..]));
         Ok(PayloadStats { bytes: payload.len() as u64, document_count })
     }
 
@@ -181,7 +183,18 @@ impl<'p, 'pl: 'p> DocumentChanges<'p> for DocumentOperation<'pl> {
         /// TODO is it the best way to provide FieldsIdsMap to the parallel iterator?
         let fields_ids_map = fields_ids_map.clone();
         // TODO We must drain the HashMap into a Vec because rayon::hash_map::IntoIter: !Clone
-        let docids_version_offsets: Vec<_> = docids_version_offsets.drain().collect();
+        let mut docids_version_offsets: Vec<_> = docids_version_offsets.drain().collect();
+        // Reorder the offsets to make sure we iterate on the file sequentially
+        docids_version_offsets.sort_unstable_by_key(|(_, (_, offsets))| {
+            offsets
+                .iter()
+                .rev()
+                .find_map(|ido| match ido {
+                    InnerDocOp::Addition(add) => Some(add.content.as_ptr() as usize),
+                    InnerDocOp::Deletion => None,
+                })
+                .unwrap_or(0)
+        });
 
         Ok(docids_version_offsets
             .into_par_iter()