Squashed commit of the following:

app/services/projects/import_export/export_service.rb

@@ -4,7 +4,7 @@ module Projects
 
       def execute(options = {})
         @shared = Gitlab::ImportExport::Shared.new(relative_path: File.join(project.path_with_namespace, 'work'))
-        save_all if [save_version, save_project_tree, bundle_repo, bundle_wiki_repo].all?
+        save_all if [save_version, save_project_tree, save_uploads, bundle_repo, bundle_wiki_repo].all?
         cleanup_and_notify_worker if @shared.errors.any?
       end
 
@@ -18,6 +18,10 @@ module Projects
         Gitlab::ImportExport::ProjectTreeSaver.new(project: project, shared: @shared).save
       end
 
+      def save_uploads
+        Gitlab::ImportExport::UploadsSaver.save(project: project, shared: @shared)
+      end
+
       def bundle_repo
         Gitlab::ImportExport::RepoBundler.new(project: project, shared: @shared).bundle
       end

lib/gitlab/import_export/uploads_saver.rb

+module Gitlab
+  module ImportExport
+    class UploadsSaver
+
+      def self.save(*args)
+        new(*args).save
+      end
+
+      def initialize(project:, shared:)
+        @project = project
+        @shared = shared
+      end
+
+      def save
+        return true unless File.directory?(uploads_path)
+
+        FileUtils.copy_entry(uploads_path, uploads_export_path)
+        true
+      rescue => e
+        @shared.error(e.message)
+        false
+      end
+
+      private
+
+      def uploads_export_path
+        File.join(@shared.export_path, 'uploads')
+      end
+
+      def uploads_path
+        File.join(Rails.root.join('public/uploads'), project.path_with_namespace)
+      end
+    end
+  end
+end