It was at the very end of the first half that Dejan Kulusevski cut in and found Richarlison in the box.
Anthony Elanga started for Nottingham and with just under an hour played, the Nottingham supporters celebrated that he had made it 1-0, but it was disallowed due to offside.
Instead, Tottenham responded through Kulusevski. Matt Turner's failed kick ended up in the hands of the Swede who got forward and shot in 2-0.
Midfielder Yves Bissouma was shown a red card in the 70th minute, but "Spurs" still held on.
Kulusevski was substituted in the 90th minute.