diff --git a/pandas/core/generic.py b/pandas/core/generic.py
index f88c26c7bc782..3ba805fa71e8a 100644
--- a/pandas/core/generic.py
+++ b/pandas/core/generic.py
@@ -2646,6 +2646,10 @@ def to_sql(
         con : sqlalchemy.engine.Engine or sqlite3.Connection
             Using SQLAlchemy makes it possible to use any DB supported by that
             library. Legacy support is provided for sqlite3.Connection objects.
+
+            Closing the connection is handled by the SQLAlchemy Engine. See `here \
+                <https://docs.sqlalchemy.org/en/13/core/connections.html>`_
+
         schema : str, optional
             Specify the schema (if database flavor supports this). If None, use
             default schema.
diff --git a/pandas/io/sql.py b/pandas/io/sql.py
index e90e19649f645..57e9ae3de6b67 100644
--- a/pandas/io/sql.py
+++ b/pandas/io/sql.py
@@ -362,6 +362,10 @@ def read_sql(
 
         Using SQLAlchemy makes it possible to use any DB supported by that
         library. If a DBAPI2 object, only sqlite3 is supported.
+
+        Closing the connection is handled by the SQLAlchemy Engine. See `here \
+            <https://docs.sqlalchemy.org/en/13/core/connections.html>`_
+
     index_col : string or list of strings, optional, default: None
         Column(s) to set as index(MultiIndex).
     coerce_float : boolean, default True