diff --git a/app/helpers/budgets_helper.rb b/app/helpers/budgets_helper.rb
index b4717fbdf..179d83ba8 100644
--- a/app/helpers/budgets_helper.rb
+++ b/app/helpers/budgets_helper.rb
@@ -60,6 +60,10 @@ module BudgetsHelper
     Budget::Investment.by_budget(budget).tags_on(:valuation).order(:name).select(:name).distinct
   end
 
+  def unfeasible_or_unselected_filter
+    ["unselected", "unfeasible"].include?(@current_filter)
+  end
+
   def budget_published?(budget)
     !budget.drafting? || current_user&.administrator?
   end
diff --git a/app/views/budgets/investments/index.html.erb b/app/views/budgets/investments/index.html.erb
index e23efac73..cbf44c357 100644
--- a/app/views/budgets/investments/index.html.erb
+++ b/app/views/budgets/investments/index.html.erb
@@ -57,7 +57,18 @@
 
       <%= render("shared/advanced_search", search_path: budget_investments_url(@budget)) %>
 
-      <%= render('shared/order_links', i18n_namespace: "budgets.investments.index") unless @current_filter == "unfeasible" %>
+      <% if unfeasible_or_unselected_filter %>
+        <ul class="no-bullet submenu">
+          <li class="inline-block">
+            <%= link_to current_path_with_query_params(order: "random", page: 1),
+                        class: "is-active" do %>
+              <h2><%= t("budgets.investments.index.orders.random") %></h2>
+            <% end %>
+          </li>
+        </ul>
+      <% else %>
+        <%= render("shared/order_links", i18n_namespace: "budgets.investments.index") %>
+      <% end %>
 
       <% if investments_default_view? %>
 
diff --git a/spec/features/budgets/investments_spec.rb b/spec/features/budgets/investments_spec.rb
index b8f2a9dfa..533b8d543 100644
--- a/spec/features/budgets/investments_spec.rb
+++ b/spec/features/budgets/investments_spec.rb
@@ -715,6 +715,28 @@ feature 'Budget Investments' do
       expect(order).not_to eq(new_order)
     end
 
+    scenario "Order always is random for unfeasible and unselected investments" do
+      Budget::Phase::PHASE_KINDS.each do |phase|
+        budget.update(phase: phase)
+
+        visit budget_investments_path(budget, heading_id: heading.id, filter: "unfeasible")
+
+        within(".submenu") do
+          expect(page).to have_content "random"
+          expect(page).not_to have_content "by price"
+          expect(page).not_to have_content "highest rated"
+        end
+
+        visit budget_investments_path(budget, heading_id: heading.id, filter: "unselected")
+
+        within(".submenu") do
+          expect(page).to have_content "random"
+          expect(page).not_to have_content "price"
+          expect(page).not_to have_content "highest rated"
+        end
+      end
+    end
+
     def investments_order
       all(".budget-investment h3").collect {|i| i.text }
     end