diff --git a/db/docs/batched_background_migrations/backfill_ml_candidate_params_project_id.yml b/db/docs/batched_background_migrations/backfill_ml_candidate_params_project_id.yml
index cc28b212f17ecb5fbcf09bc79938b235186b5ca2..f2936fc8cace3db9d918a4eef8a1485f44391e14 100644
--- a/db/docs/batched_background_migrations/backfill_ml_candidate_params_project_id.yml
+++ b/db/docs/batched_background_migrations/backfill_ml_candidate_params_project_id.yml
@@ -5,4 +5,4 @@ feature_category: mlops
 introduced_by_url: https://gitlab.com/gitlab-org/gitlab/-/merge_requests/165336
 milestone: '17.4'
 queued_migration_version: 20240906131415
-finalized_by: # version of the migration that finalized this BBM
+finalized_by: '20250302231854'
diff --git a/db/post_migrate/20250302231854_finalize_hk_backfill_ml_candidate_params_project_id.rb b/db/post_migrate/20250302231854_finalize_hk_backfill_ml_candidate_params_project_id.rb
new file mode 100644
index 0000000000000000000000000000000000000000..e5232b796e90f8a529af533d55705851e914c1a2
--- /dev/null
+++ b/db/post_migrate/20250302231854_finalize_hk_backfill_ml_candidate_params_project_id.rb
@@ -0,0 +1,21 @@
+# frozen_string_literal: true
+
+class FinalizeHkBackfillMlCandidateParamsProjectId < Gitlab::Database::Migration[2.2]
+  milestone '17.10'
+
+  disable_ddl_transaction!
+
+  restrict_gitlab_migration gitlab_schema: :gitlab_main_cell
+
+  def up
+    ensure_batched_background_migration_is_finished(
+      job_class_name: 'BackfillMlCandidateParamsProjectId',
+      table_name: :ml_candidate_params,
+      column_name: :id,
+      job_arguments: [:project_id, :ml_candidates, :project_id, :candidate_id],
+      finalize: true
+    )
+  end
+
+  def down; end
+end
diff --git a/db/schema_migrations/20250302231854 b/db/schema_migrations/20250302231854
new file mode 100644
index 0000000000000000000000000000000000000000..f30afb90a2486be6c869d287d232bb203ae4ca50
--- /dev/null
+++ b/db/schema_migrations/20250302231854
@@ -0,0 +1 @@
+200a96d5653c314ed9005d8e8027b7ec378ddd2ce76156c9fba450fe741881dd
\ No newline at end of file