diff --git a/doc/src/cursor.rst b/doc/src/cursor.rst
index 73bb5375..45e62781 100644
--- a/doc/src/cursor.rst
+++ b/doc/src/cursor.rst
@@ -494,6 +494,9 @@ The ``cursor`` class
 
     .. rubric:: COPY-related methods
 
+    Efficiently copy data from file-like objects to the database and back. See
+    :ref:`copy` for an overview.
+
     .. extension::
 
         The :sql:`COPY` command is a PostgreSQL extension to the SQL standard.
@@ -502,7 +505,7 @@ The ``cursor`` class
     .. method:: copy_from(file, table, sep='\\t', null='\\\\N', size=8192, columns=None)
 
         Read data *from* the file-like object *file* appending them to
-        the table named *table*.  See :ref:`copy` for an overview.
+        the table named *table*.
 
         :param file: file-like object to read data from.  It must have both
             `!read()` and `!readline()` methods.
diff --git a/doc/src/usage.rst b/doc/src/usage.rst
index 9dd31df2..3b42aeb9 100644
--- a/doc/src/usage.rst
+++ b/doc/src/usage.rst
@@ -864,11 +864,19 @@ Using COPY TO and COPY FROM
 
 Psycopg `cursor` objects provide an interface to the efficient
 PostgreSQL |COPY|__ command to move data from files to tables and back.
+
+Currently no adaptation is provided between Python and PostgreSQL types on
+|COPY|: the file can be any Python file-like object but its format must be in
+the format accepted by `PostgreSQL COPY command`__ (data fromat, escaped
+characters, etc).
+
+.. __: COPY_
+
 The methods exposed are:
 
 `~cursor.copy_from()`
     Reads data *from* a file-like object appending them to a database table
-    (:sql:`COPY table FROM file` syntax). The source file must have both
+    (:sql:`COPY table FROM file` syntax). The source file must provide both
     `!read()` and `!readline()` method.
 
 `~cursor.copy_to()`