diff --git a/models/sale_coupon_program.py b/models/sale_coupon_program.py
index 6f7e7aa4669..d0d1e9ad786 100644
--- a/models/sale_coupon_program.py
+++ b/models/sale_coupon_program.py
@@ -2,7 +2,7 @@
 # Part of Odoo. See LICENSE file for full copyright and licensing details.
 
 
-from odoo import models, _
+from odoo import models, _, api
 
 
 class SaleCouponProgram(models.Model):
@@ -22,3 +22,20 @@ class SaleCouponProgram(models.Model):
         if self.reward_type == 'free_shipping' and not order.order_line.filtered(lambda line: line.is_delivery):
             return {'error': _('The shipping costs are not in the order lines.')}
         return super(SaleCouponProgram, self)._check_promo_code(order, coupon_code)
+
+    @api.model
+    def _filter_on_mimimum_amount(self, order):
+        # To get actual total amount of SO without any reward or discount
+        # We exclude any line of the order that is a delivery
+        # get the round function of the currency: we want to imitate what the sale.order.amount is (computed field)
+        round_curr = order.pricelist_id.currency_id.round
+        order_lines = order.order_line.filtered(lambda l: not l.is_delivery)
+        order_amount = round_curr(sum(order_lines.mapped('price_subtotal')))
+        order_tax = round_curr(sum(order_lines.mapped('price_tax')))
+        discounted_amount = sum(order_lines.filtered(lambda line: line.is_reward_line).mapped('price_total'))
+        untaxed_amount = order_amount - discounted_amount
+        return self.filtered(lambda program:
+            program.rule_minimum_amount_tax_inclusion == 'tax_included' and
+            program._compute_program_amount('rule_minimum_amount', order.currency_id) <= untaxed_amount + order_tax or
+            program.rule_minimum_amount_tax_inclusion == 'tax_excluded' and
+            program._compute_program_amount('rule_minimum_amount', order.currency_id) <= untaxed_amount)
diff --git a/tests/test_free_shipping_reward.py b/tests/test_free_shipping_reward.py
index b7780cd6f29..b5666e20c33 100644
--- a/tests/test_free_shipping_reward.py
+++ b/tests/test_free_shipping_reward.py
@@ -24,6 +24,7 @@ class TestSaleCouponProgramRules(TestSaleCouponCommon):
             'partner_id': self.steve.id,
         })
 
+        # Price of order will be 5*1.15 = 5.75 (tax included)
         order.write({'order_line': [
             (0, False, {
                 'product_id': self.product_B.id,
@@ -40,6 +41,24 @@ class TestSaleCouponProgramRules(TestSaleCouponCommon):
         order.recompute_coupon_lines()
         self.assertEqual(len(order.order_line.ids), 2)
 
+        # Test Case 1b: amount is not reached but is on a threshold
+        # The amount of deliverable product + the one of the delivery exceeds the minimum amount
+        # yet the program shouldn't be applied
+
+        # Order price will be 5.75 + 81.74*1.15 = 99.75
+        order.write({'order_line': [
+            (0, False, {
+                'product_id': self.product_B.id,
+                'name': 'Product 1B',
+                'product_uom': self.uom_unit.id,
+                'product_uom_qty': 1.0,
+                'price_unit': 81.74,
+            })
+        ]})
+
+        order.recompute_coupon_lines()
+        self.assertEqual(len(order.order_line.ids), 3)
+
         # Test case 2: the amount is sufficient, the shipping should
         # be reimbursed
         order.write({'order_line': [
@@ -53,11 +72,11 @@ class TestSaleCouponProgramRules(TestSaleCouponCommon):
         ]})
 
         order.recompute_coupon_lines()
-        self.assertEqual(len(order.order_line.ids), 4)
+        self.assertEqual(len(order.order_line.ids), 5)
 
         # Test case 3: the amount is not sufficient now, the reward should be removed
         order.write({'order_line': [
             (2, order.order_line.filtered(lambda line: line.product_id.id == self.product_A.id).id, False)
         ]})
         order.recompute_coupon_lines()
-        self.assertEqual(len(order.order_line.ids), 2)
+        self.assertEqual(len(order.order_line.ids), 3)