This is example for only doc file for admin.
You are also add another file to avoid restriction for admin.
add_filter( 'wp_check_filetype_and_ext', 'file_and_ext_allow_for_user', 10, 4 );
function file_and_ext_allow_for_user( $types, $file, $filename, $mimes )
{
if( is_admin() ){
if( false !== strpos( $filename, '.doc' ) )
{
$types['ext'] = 'doc';
$types['type'] = 'application/msword';
}
}
return $types;
}