diff --git a/sqlite_utils/db.py b/sqlite_utils/db.py
index 62e365654..18ca4ae87 100644
--- a/sqlite_utils/db.py
+++ b/sqlite_utils/db.py
@@ -1400,6 +1400,7 @@ def create_table_sql(
         extracts: Optional[Union[Dict[str, str], List[str]]] = None,
         if_not_exists: bool = False,
         strict: bool = False,
+        unique: Optional[Iterable[str]] = None,
     ) -> str:
         """
         Returns the SQL ``CREATE TABLE`` statement for creating the specified table.
@@ -1442,6 +1443,7 @@ def create_table_sql(
             )
         # Soundness check not_null, and defaults if provided
         not_null = {resolve_casing(n, columns) for n in not_null or set()}
+        unique = {resolve_casing(n, columns) for n in unique or set()}
         defaults = {resolve_casing(n, columns): v for n, v in (defaults or {}).items()}
         if column_order is not None:
             column_order = [resolve_casing(c, columns) for c in column_order]
@@ -1498,6 +1500,8 @@ def sort_key(p):
                 column_extras.append("PRIMARY KEY")
             if column_name in not_null:
                 column_extras.append("NOT NULL")
+            if column_name in unique and column_name != single_pk:
+                column_extras.append("UNIQUE")
             if column_name in defaults and defaults[column_name] is not None:
                 column_extras.append(
                     "DEFAULT {}".format(self.quote_default_value(defaults[column_name]))
@@ -2796,6 +2800,16 @@ def fk_with_renamed_columns(fk: ForeignKey) -> ForeignKey:
         if column_order is not None:
             column_order = [rename.get(col) or col for col in column_order]
 
+        # Collect column-level UNIQUE constraints from auto-indices (origin="u").
+        # These have no CREATE INDEX SQL, so they must be reproduced as inline UNIQUE
+        # column attributes in the new CREATE TABLE statement.
+        create_table_unique = set()
+        for index in self.indexes:
+            if index.origin == "u":
+                for col in index.columns:
+                    if col not in drop:
+                        create_table_unique.add(rename.get(col, col))
+
         sqls = []
         sqls.append(
             self.db.create_table_sql(
@@ -2807,6 +2821,7 @@ def fk_with_renamed_columns(fk: ForeignKey) -> ForeignKey:
                 foreign_keys=create_table_foreign_keys,
                 column_order=column_order,
                 strict=self.strict,
+                unique=create_table_unique,
             ).strip()
         )
 
@@ -2850,6 +2865,11 @@ def fk_with_renamed_columns(fk: ForeignKey) -> ForeignKey:
                     {"index_name": index.name},
                 ).fetchall()[0][0]
                 if index_sql is None:
+                    if index.origin == "u":
+                        # Auto-index backing a column-level UNIQUE constraint: already
+                        # reproduced as an inline UNIQUE attribute in the new table's
+                        # CREATE TABLE statement (see create_table_sql call above).
+                        continue
                     raise TransformError(
                         f"Index '{index.name}' on table '{self.name}' does not have a "
                         "CREATE INDEX statement. You must manually drop this index prior to running this "
diff --git a/tests/test_transform.py b/tests/test_transform.py
index 71518bed9..fe8424015 100644
--- a/tests/test_transform.py
+++ b/tests/test_transform.py
@@ -681,15 +681,20 @@ def test_transform_with_unique_constraint_implicit_index(fresh_db):
     """)
     dogs.insert({"id": 1, "name": "Cleo", "age": 5})
 
-    # Attempt to transform the table without modifying 'name'
-    with pytest.raises(TransformError) as excinfo:
-        dogs.transform(types={"age": str})
-
-    assert (
-        "Index 'sqlite_autoindex_dogs_1' on table 'dogs' does not have a CREATE INDEX statement."
-        in str(excinfo.value)
-    )
-    assert (
-        "You must manually drop this index prior to running this transformation and manually recreate the new index after running this transformation."
-        in str(excinfo.value)
-    )
+    # Transform should succeed and preserve the UNIQUE constraint
+    dogs.transform(types={"age": str})
+    assert "UNIQUE" in dogs.schema
+
+    # Duplicate name insert should still be rejected
+    import pytest as _pytest
+    with _pytest.raises(Exception):
+        fresh_db.execute("INSERT INTO dogs VALUES (2, 'Cleo', '6')")
+
+    # Rename the UNIQUE column: constraint follows the new name
+    dogs.transform(rename={"name": "dog_name"})
+    assert "UNIQUE" in dogs.schema
+    assert [c.name for c in dogs.columns] == ["id", "dog_name", "age"]
+
+    # Drop the UNIQUE column: transform completes without error
+    dogs.transform(drop={"dog_name"})
+    assert "dog_name" not in [c.name for c in dogs.columns]