diff --git a/lms/migrations/versions/1103b3072f9e_add_auto_grading_config_previous_config_.py b/lms/migrations/versions/1103b3072f9e_add_auto_grading_config_previous_config_.py
new file mode 100644
index 0000000000..4f30aa1017
--- /dev/null
+++ b/lms/migrations/versions/1103b3072f9e_add_auto_grading_config_previous_config_.py
@@ -0,0 +1,43 @@
+"""Add assignment_auto_grading_config.previous_config_id.
+
+Revision ID: 1103b3072f9e
+Revises: fa62e42cb531
+"""
+
+import sqlalchemy as sa
+from alembic import op
+
+revision = "1103b3072f9e"
+down_revision = "fa62e42cb531"
+
+# The generated name (fk__<table>__<column>__<table>) is too long, over
+# Postgres's limit, so we name it explicitly instead.
+FK_NAME = "fk__aagc__previous_config_id__aagc"
+UQ_NAME = "uq__assignment_auto_grading_config__previous_config_id"
+
+
+def upgrade() -> None:
+    op.add_column(
+        "assignment_auto_grading_config",
+        sa.Column("previous_config_id", sa.Integer(), nullable=True),
+    )
+    op.create_foreign_key(
+        FK_NAME,
+        "assignment_auto_grading_config",
+        "assignment_auto_grading_config",
+        ["previous_config_id"],
+        ["id"],
+        ondelete="cascade",
+    )
+    # Each config can be the predecessor of at most one other, which rules out
+    # forks. NULLS DISTINCT (the default) is required, not incidental: every
+    # assignment's first config has previous_config_id NULL.
+    op.create_unique_constraint(
+        UQ_NAME, "assignment_auto_grading_config", ["previous_config_id"]
+    )
+
+
+def downgrade() -> None:
+    op.drop_constraint(UQ_NAME, "assignment_auto_grading_config", type_="unique")
+    op.drop_constraint(FK_NAME, "assignment_auto_grading_config", type_="foreignkey")
+    op.drop_column("assignment_auto_grading_config", "previous_config_id")