Fuller would have been celebrating a hat-trick had he not headed Chris Lucketti's cross over, while Preston's MichaelKeane forced a save from Reading keeper Marcus Hahnemann with a stinging drive.
Tottenham do, however, have a host of injury worries, with the likes of Tom Huddlestone, Michael Dawson, Ledley King, Vedran Corluka and Robbie Keane ruled out.