diff --git a/app/assets/stylesheets/02_utils.scss b/app/assets/stylesheets/02_utils.scss
index d66a5c81ab9..3aa08df2df0 100644
--- a/app/assets/stylesheets/02_utils.scss
+++ b/app/assets/stylesheets/02_utils.scss
@@ -167,7 +167,6 @@
 
 .element-warning {
   border: 4px solid var(--border-plain-warning);
-  border-radius: 5px;
 }
 
 // Labels that we only want for screen readers
diff --git a/app/components/conditions/transitions_rules_component/transitions_rules_component.html.haml b/app/components/conditions/transitions_rules_component/transitions_rules_component.html.haml
index 636ad1c10fd..2f86992d803 100644
--- a/app/components/conditions/transitions_rules_component/transitions_rules_component.html.haml
+++ b/app/components/conditions/transitions_rules_component/transitions_rules_component.html.haml
@@ -1,30 +1,41 @@
 %div{ id: dom_id(@revision, :transitions_rules) }
-  = form_tag admin_procedure_transitions_rules_path(@revision.procedure_id), method: :patch, data: { turbo: true, controller: 'autosave' }, class: 'form width-100' do
-    - if @condition.present?
-      .conditionnel.fr-mt-3w.width-100
-        %table.condition-table.mt-2{ class: class_names('element-warning' => pending_changes?) }
-          %thead
-            %tr
-            %th.far-left
-            %th.target Champ Cible
-            %th.operator Opérateur
-            %th.value Valeur
-            %th.delete-column
-          %tbody
-            - rows.each.with_index do |(targeted_champ, operator_name, value), row_index|
-              %tr
-                %td.far-left= far_left_tag(row_index)
-                %td.target= left_operand_tag(targeted_champ, row_index)
-                %td.operator= operator_tag(operator_name, targeted_champ, row_index)
-                %td.value= right_operand_tag(targeted_champ, value, row_index, operator_name)
-                %td.delete-column= delete_condition_tag(row_index)
+  %div{ class: class_names('element-warning' => pending_changes?, 'fr-p-3w': pending_changes?) }
+    %h2.fr-h2
+      Gestion des critères d'eligibilité
 
-        = render Procedure::PendingRepublishComponent.new(procedure: @revision.procedure, render_if: pending_changes?)
-        %p.fr-mt-3w= add_condition_tag
+    = form_tag admin_procedure_transitions_rules_path(@revision.procedure_id), method: :patch, data: { turbo: true, controller: 'autosave' }, class: 'form width-100' do
+      - if @condition.present?
+        .conditionnel.fr-mt-3w.width-100
+          %table.condition-table.mt-2
+            %thead
+              %tr
+              %th.far-left
+              %th.target Champ Cible
+              %th.operator Opérateur
+              %th.value Valeur
+              %th.delete-column
+            %tbody
+              - rows.each.with_index do |(targeted_champ, operator_name, value), row_index|
+                %tr
+                  %td.far-left= far_left_tag(row_index)
+                  %td.target= left_operand_tag(targeted_champ, row_index)
+                  %td.operator= operator_tag(operator_name, targeted_champ, row_index)
+                  %td.value= right_operand_tag(targeted_champ, value, row_index, operator_name)
+                  %td.delete-column= delete_condition_tag(row_index)
+            %tfoot
+              %tr
+                %td{ colspan: 5 }= add_condition_tag
 
+      - else
+        = tag.button "Activer l'éligibilité des dossiers", formaction: add_condition_path, formvalidate: true, class: 'fr-btn fr-btn--primary'
 
-    - else
-      = tag.button "Activer l'éligibilité des dossiers", formaction: add_condition_path, formvalidate: true, class: 'fr-btn fr-btn--primary'
+    - if @condition.present?
+      %h2.fr-h2.fr-mt-3w Message d'inéligibilité
+      = form_for(@revision, url: change_message_admin_procedure_transitions_rules_path(@revision.procedure_id)) do |f|
+        = render Dsfr::InputComponent.new(form: f, attribute: :dossier_ineligble_message, input_type: :text_area, opts: {rows: 5})
+        %p.fr-mb-0= f.submit "Modifier le message d'inéligibilité", class: 'fr-btn'
 
+  = render Procedure::PendingRepublishComponent.new(procedure: @revision.procedure, render_if: pending_changes?)
   - if @condition.present?
-    = button_to 'Désactiver l’éligibilité des dossiers', delete_all_admin_procedure_transitions_rules_path(@revision.procedure), method: :delete, class: 'fr-btn'
+    %h2.fr-h2.fr-mt-3w Désactivation des critères d'eligibilité
+    = button_to 'Désactiver l’éligibilité des dossiers', delete_all_admin_procedure_transitions_rules_path(@revision.procedure), method: :delete, class: 'fr-btn fr-btn--tertiary'
diff --git a/app/components/dossiers/invalid_transitions_rules_component.rb b/app/components/dossiers/invalid_transitions_rules_component.rb
index 6ebea6a9d65..be236cf7b53 100644
--- a/app/components/dossiers/invalid_transitions_rules_component.rb
+++ b/app/components/dossiers/invalid_transitions_rules_component.rb
@@ -9,6 +9,10 @@ def render?
     transitions_rules_computable? && !can_passer_en_construction?
   end
 
+  def error_message
+    @dossier.revision.dossier_ineligble_message || t('.modal.body', procedure_libelle: @dossier.procedure.libelle)
+  end
+
   private
 
   def transitions_rules_computable?
diff --git a/app/components/dossiers/invalid_transitions_rules_component/invalid_transitions_rules_component.html.haml b/app/components/dossiers/invalid_transitions_rules_component/invalid_transitions_rules_component.html.haml
index 6548b074f86..540752b789b 100644
--- a/app/components/dossiers/invalid_transitions_rules_component/invalid_transitions_rules_component.html.haml
+++ b/app/components/dossiers/invalid_transitions_rules_component/invalid_transitions_rules_component.html.haml
@@ -13,4 +13,4 @@
               %h1#fr-modal-title-modal-1.fr-modal__title
                 %span.fr-icon-arrow-right-line.fr-icon--lg>
                 = t('.modal.title')
-              %p= t('.modal.body', procedure_libelle: @dossier.procedure.libelle)
+              %p= error_message
diff --git a/app/components/procedure/pending_republish_component/pending_republish_component.fr.yml b/app/components/procedure/pending_republish_component/pending_republish_component.fr.yml
index 3c02c563d79..eb941cdbab1 100644
--- a/app/components/procedure/pending_republish_component/pending_republish_component.fr.yml
+++ b/app/components/procedure/pending_republish_component/pending_republish_component.fr.yml
@@ -1,4 +1,4 @@
 ---
 fr:
   pending_republish_html: |
-    Cette modification ne sera appliquée qu'à la prochaine publication. Vous pouvez vérifier puis publier les modifications sur l'écran de <a href="%{href}">gestion de la démarche</a>
\ No newline at end of file
+    Ces modifications ne seront appliquées qu'à la prochaine publication. Vous pouvez vérifier puis publier les modifications sur l'écran de <a href="%{href}">gestion de la démarche</a>
\ No newline at end of file
diff --git a/app/components/procedure/pending_republish_component/pending_republish_component.html.haml b/app/components/procedure/pending_republish_component/pending_republish_component.html.haml
index 15c01ba7abc..eab7f62fc87 100644
--- a/app/components/procedure/pending_republish_component/pending_republish_component.html.haml
+++ b/app/components/procedure/pending_republish_component/pending_republish_component.html.haml
@@ -1,3 +1,3 @@
-= render Dsfr::AlertComponent.new(state: :warning, extra_class_names: 'fr-mt-3w') do |c|
+= render Dsfr::AlertComponent.new(state: :warning) do |c|
   - c.with_body do
     = t('.pending_republish_html', href: admin_procedure_path(@procedure.id))
diff --git a/app/components/procedure/revision_changes_component.rb b/app/components/procedure/revision_changes_component.rb
index fd0bb403735..ad7a4652e7e 100644
--- a/app/components/procedure/revision_changes_component.rb
+++ b/app/components/procedure/revision_changes_component.rb
@@ -1,6 +1,7 @@
 class Procedure::RevisionChangesComponent < ApplicationComponent
   def initialize(new_revision:, previous_revision:)
     @previous_revision = previous_revision
+    @new_revision = new_revision
 
     @tdc_changes = previous_revision.compare_types_de_champ(new_revision)
     @public_move_changes, @private_move_changes = @tdc_changes.filter { _1.op == :move }.partition { !_1.private? }
@@ -9,6 +10,10 @@ def initialize(new_revision:, previous_revision:)
     @transition_rules_changes = previous_revision.compare_transitions_rules(new_revision)
   end
 
+  def dossier_ineligble_message_changed?
+    @new_revision.dossier_ineligble_message != @previous_revision.dossier_ineligble_message
+  end
+
   private
 
   def total_dossiers
diff --git a/app/components/procedure/revision_changes_component/revision_changes_component.fr.yml b/app/components/procedure/revision_changes_component/revision_changes_component.fr.yml
index 51722548206..eafb09f8c5e 100644
--- a/app/components/procedure/revision_changes_component/revision_changes_component.fr.yml
+++ b/app/components/procedure/revision_changes_component/revision_changes_component.fr.yml
@@ -81,6 +81,7 @@ fr:
     remove_expression_reguliere_error_message: Le message d’erreur de l’expression régulière de l’annotation privée « %{label} » a été supprimé.
     update_expression_reguliere_error_message: Le message d’erreur de l’expression régulière de l’annotation privée « %{label} » a été modifiée. Le nouveau message est « %{to} ».
   transitions_rules:
-    add: La condition d’elligibilité « %{new_condition} » a été ajoutée.
-    remove: La condition d’elligibilité « %{previous_condition} » a été supprimée
-    update: La conditon d’elligibilité  « %{previous_condition} » a été changée pour « %{new_condition} »
\ No newline at end of file
+    add: La condition d’eligibilité « %{new_condition} » a été ajoutée.
+    remove: La condition d’eligibilité « %{previous_condition} » a été supprimée
+    update: La conditon d’eligibilité  « %{previous_condition} » a été changée pour « %{new_condition} »
+    dossier_ineligble_message_changed: "Le message d’eligibilité a été changé : « %{new_dossier_ineligble_message} »"
diff --git a/app/components/procedure/revision_changes_component/revision_changes_component.html.haml b/app/components/procedure/revision_changes_component/revision_changes_component.html.haml
index ef437161102..5ead2541af5 100644
--- a/app/components/procedure/revision_changes_component/revision_changes_component.html.haml
+++ b/app/components/procedure/revision_changes_component/revision_changes_component.html.haml
@@ -180,3 +180,7 @@
   - @transition_rules_changes.each do |change|
     - list.with_item do
       = t(".transitions_rules.#{change.op}", previous_condition: change.previous_condition, new_condition: change.new_condition)
+
+  - if dossier_ineligble_message_changed?
+    - list.with_item do
+      = t('.transitions_rules.dossier_ineligble_message_changed', new_dossier_ineligble_message: @new_revision.dossier_ineligble_message)
diff --git a/app/controllers/administrateurs/transitions_rules_controller.rb b/app/controllers/administrateurs/transitions_rules_controller.rb
index c3df1a439b4..40149cbf191 100644
--- a/app/controllers/administrateurs/transitions_rules_controller.rb
+++ b/app/controllers/administrateurs/transitions_rules_controller.rb
@@ -5,6 +5,14 @@ class TransitionsRulesController < AdministrateurController
     def edit
     end
 
+    def change_message
+      if revision.update(params.require(:procedure_revision).permit(:dossier_ineligble_message))
+        redirect_to edit_admin_procedure_transitions_rules_path(@procedure)
+      else
+        render :edit
+      end
+    end
+
     def add_row
       condition = Logic.add_empty_condition_to(revision.transitions_rules)
       revision.update!(transitions_rules: condition)
diff --git a/app/models/procedure_revision_change.rb b/app/models/procedure_revision_change.rb
index f78a0032018..428b1074d9c 100644
--- a/app/models/procedure_revision_change.rb
+++ b/app/models/procedure_revision_change.rb
@@ -107,4 +107,14 @@ def op = :remove
   class ChangeTransitionsRule < TransitionsRulesChange
     def op = :update
   end
+
+  class ChangeDossierIneligbleMessage
+    attr_reader :previous_revision, :new_revision
+    def initialize(previous_revision, new_revision)
+      @previous_revision = previous_revision
+      @new_revision = new_revision
+    end
+
+    def op = :update
+  end
 end
diff --git a/config/locales/models/procedure_revision/fr.yml b/config/locales/models/procedure_revision/fr.yml
new file mode 100644
index 00000000000..bf1ce9cdffd
--- /dev/null
+++ b/config/locales/models/procedure_revision/fr.yml
@@ -0,0 +1,7 @@
+fr:
+  activerecord:
+    attributes:
+      procedure_revision:
+        dossier_ineligble_message: Message d'inéligibilité
+        hints:
+          dossier_ineligble_message: "Ce message sera affiché à l'usager si son dossier ne correspond pas à vos critères d'éligibilité"
diff --git a/config/routes.rb b/config/routes.rb
index 68f2c6fc463..907e58e42fb 100644
--- a/config/routes.rb
+++ b/config/routes.rb
@@ -620,6 +620,7 @@
         patch :add_row, on: :member
         delete :delete_row, on: :member
         delete :delete_all, on: :member
+        patch :change_message
       end
 
       patch :update_defaut_groupe_instructeur, controller: 'routing_rules', as: :update_defaut_groupe_instructeur
diff --git a/db/migrate/20240514075727_add_dossier_ineligble_message_to_procedure_revisions.rb b/db/migrate/20240514075727_add_dossier_ineligble_message_to_procedure_revisions.rb
new file mode 100644
index 00000000000..782b4a111bb
--- /dev/null
+++ b/db/migrate/20240514075727_add_dossier_ineligble_message_to_procedure_revisions.rb
@@ -0,0 +1,5 @@
+class AddDossierIneligbleMessageToProcedureRevisions < ActiveRecord::Migration[7.0]
+  def change
+    add_column :procedure_revisions, :dossier_ineligble_message, :text
+  end
+end
diff --git a/db/schema.rb b/db/schema.rb
index 4656a42c50c..bfb2ecb14df 100644
--- a/db/schema.rb
+++ b/db/schema.rb
@@ -10,7 +10,7 @@
 #
 # It's strongly recommended that you check this file into your version control system.
 
-ActiveRecord::Schema[7.0].define(version: 2024_04_17_053843) do
+ActiveRecord::Schema[7.0].define(version: 2024_05_14_075727) do
   # These are extensions that must be enabled in order to support this database
   enable_extension "pg_buffercache"
   enable_extension "pg_stat_statements"
@@ -848,6 +848,7 @@
 
   create_table "procedure_revisions", force: :cascade do |t|
     t.datetime "created_at", precision: nil, null: false
+    t.text "dossier_ineligble_message"
     t.bigint "dossier_submitted_message_id"
     t.bigint "procedure_id", null: false
     t.datetime "published_at", precision: nil
diff --git a/spec/controllers/administrateurs/transitions_rules_controller_spec.rb b/spec/controllers/administrateurs/transitions_rules_controller_spec.rb
index 2910313733a..9ec3c7f9442 100644
--- a/spec/controllers/administrateurs/transitions_rules_controller_spec.rb
+++ b/spec/controllers/administrateurs/transitions_rules_controller_spec.rb
@@ -160,4 +160,15 @@
       end
     end
   end
+
+  describe 'change_message' do
+    let(:dossier_ineligble_message) { 'panpan' }
+    before { sign_in(admin.user) }
+    it 'works' do
+      expect { patch :change_message, params: { procedure_id: procedure.id, procedure_revision: { dossier_ineligble_message: } } }
+        .to change { procedure.reload.draft_revision.dossier_ineligble_message }
+        .from(nil).to(dossier_ineligble_message)
+      expect(response).to redirect_to(edit_admin_procedure_transitions_rules_path(procedure))
+    end
+  end
 end