diff --git a/docs/handbook/image-file-formats.rst b/docs/handbook/image-file-formats.rst
index 9aafbdd1c..c1cfecbf8 100644
--- a/docs/handbook/image-file-formats.rst
+++ b/docs/handbook/image-file-formats.rst
@@ -105,8 +105,8 @@ Reading sequences
 ~~~~~~~~~~~~~~~~~
 
 The GIF loader supports the :py:meth:`~file.seek` and :py:meth:`~file.tell`
-methods. You can seek to the next frame (``im.seek(im.tell() + 1)``), or rewind
-the file by seeking to the first frame. Random access is not supported.
+methods. You can combine these methods to seek to the next frame
+(``im.seek(im.tell() + 1)``).
 
 ``im.seek()`` raises an ``EOFError`` if you try to seek after the last frame.
 
diff --git a/docs/handbook/tutorial.rst b/docs/handbook/tutorial.rst
index 13a7deba6..b05972f93 100644
--- a/docs/handbook/tutorial.rst
+++ b/docs/handbook/tutorial.rst
@@ -396,10 +396,6 @@ Reading sequences
 As seen in this example, you’ll get an :py:exc:`EOFError` exception when the
 sequence ends.
 
-Note that most drivers in the current version of the library only allow you to
-seek to the next frame (as in the above example). To rewind the file, you may
-have to reopen it.
-
 The following class lets you use the for-statement to loop over the sequence:
 
 Using the ImageSequence Iterator class
diff --git a/src/PIL/Image.py b/src/PIL/Image.py
index 51d6e8466..c77a4cfe2 100644
--- a/src/PIL/Image.py
+++ b/src/PIL/Image.py
@@ -2005,9 +2005,6 @@ class Image(object):
         **EOFError** exception. When a sequence file is opened, the
         library automatically seeks to frame 0.
 
-        Note that in the current version of the library, most sequence
-        formats only allow you to seek to the next frame.
-
         See :py:meth:`~PIL.Image.Image.tell`.
 
         :param frame: Frame number, starting at 0.