diff --git a/addons/stock/models/stock_move.py b/addons/stock/models/stock_move.py
index 24e2c098eeb..8badb2b2fa4 100644
--- a/addons/stock/models/stock_move.py
+++ b/addons/stock/models/stock_move.py
@@ -1929,7 +1929,7 @@ class StockMove(models.Model):
                          ('procure_method', '=', 'make_to_stock'),
                          ('reservation_date', '<=', fields.Date.today())]
         moves_to_reserve = self.env['stock.move'].search(expression.AND([static_domain, expression.OR(domains)]),
-                                                         order='reservation_date, priority desc, date asc')
+                                                         order='reservation_date, priority desc, date asc, id asc')
         moves_to_reserve._action_assign()
 
     def _rollup_move_dests(self, seen):
diff --git a/addons/stock/models/stock_rule.py b/addons/stock/models/stock_rule.py
index f79b8588a67..70790294fcc 100644
--- a/addons/stock/models/stock_rule.py
+++ b/addons/stock/models/stock_rule.py
@@ -537,7 +537,7 @@ class ProcurementGroup(models.Model):
         # Search all confirmed stock_moves and try to assign them
         domain = self._get_moves_to_assign_domain(company_id)
         moves_to_assign = self.env['stock.move'].search(domain, limit=None,
-            order='reservation_date, priority desc, date asc')
+            order='reservation_date, priority desc, date asc, id asc')
         for moves_chunk in split_every(1000, moves_to_assign.ids):
             self.env['stock.move'].browse(moves_chunk).sudo()._action_assign()
             if use_new_cursor:
diff --git a/addons/stock/tests/test_stock_flow.py b/addons/stock/tests/test_stock_flow.py
index b4af1fabb7a..57b95a7ac48 100644
--- a/addons/stock/tests/test_stock_flow.py
+++ b/addons/stock/tests/test_stock_flow.py
@@ -2020,3 +2020,51 @@ class TestStockFlow(TestStockCommon):
         # Validates the two receipts => It should raise an error as there is duplicate SN.
         with self.assertRaises(ValidationError):
             (receipt_1 | receipt_2).button_validate()
+
+    def test_assign_qty_to_first_move(self):
+        """ Suppose two out picking waiting for an available quantity. When receiving such
+         a quantity, the latter should be assign to the picking with the highest priority
+         and the earliest scheduled date. """
+        def create_picking(picking_type, from_loc, to_loc, sequence=10, delay=0):
+            picking = self.PickingObj.create({
+                'picking_type_id': picking_type,
+                'location_id': from_loc,
+                'location_dest_id': to_loc,
+            })
+            self.MoveObj.create({
+                'name': self.productA.name,
+                'sequence': sequence,
+                'date': fields.Datetime.add(fields.Datetime.now(), second=delay),
+                'reservation_date': fields.Date.today(),
+                'product_id': self.productA.id,
+                'product_uom_qty': 1,
+                'product_uom': self.productA.uom_id.id,
+                'picking_id': picking.id,
+                'location_id': from_loc,
+                'location_dest_id': to_loc,
+            })
+            picking.action_confirm()
+            return picking
+
+        def validate_picking(picking):
+            res_dict = picking.button_validate()
+            wizard = Form(self.env[(res_dict.get('res_model'))].with_context(res_dict['context'])).save()
+            wizard.process()
+
+        out01 = create_picking(self.picking_type_out, self.stock_location, self.customer_location)
+        out02 = create_picking(self.picking_type_out, self.stock_location, self.customer_location, sequence=2, delay=1)
+        in01 = create_picking(self.picking_type_in, self.supplier_location, self.stock_location, delay=2)
+
+        validate_picking(in01)
+        self.assertEqual(out01.state, 'assigned')
+        self.assertEqual(out02.state, 'confirmed')
+
+        validate_picking(out01)
+
+        out03 = create_picking(self.picking_type_out, self.stock_location, self.customer_location, delay=3)
+        out03.priority = "1"
+        in02 = create_picking(self.picking_type_in, self.supplier_location, self.stock_location, delay=4)
+
+        validate_picking(in02)
+        self.assertEqual(out02.state, 'confirmed')
+        self.assertEqual(out03.state, 'assigned')