diff --git a/README.mkd b/README.mkd
index cb9802a..2299dc7 100644
--- a/README.mkd
+++ b/README.mkd
@@ -533,6 +533,8 @@ let g:gitgutter_async = 0
 
 Add `let g:gitgutter_preview_win_floating = 1` to your `~/.vimrc`.  Note that on Vim this prevents you staging (partial) hunks via the preview window.
 
+On Neovim, the preview hunk command will move the cursor into the floating window if it is already open.
+
 
 #### The appearance of a floating/popup window for hunk previews
 
diff --git a/doc/gitgutter.txt b/doc/gitgutter.txt
index bb93067..0782d36 100644
--- a/doc/gitgutter.txt
+++ b/doc/gitgutter.txt
@@ -201,7 +201,9 @@ Commands for operating on a hunk:~
 :GitGutterUndoHunk      Undo the hunk the cursor is in.
 
                                               *gitgutter-:GitGutterPreviewHunk*
-:GitGutterPreviewHunk   Preview the hunk the cursor is in.
+:GitGutterPreviewHunk   Preview the hunk the cursor is in or, if you are using
+                        floating preview windows in Neovim and the window is
+                        already open, move the cursor into the window.
 
                         To stage part of the hunk, move to the preview window,
                         delete any lines you do not want to stage, and