Spurs fought back from 3-0 down at The Hawthorns to claim a share of the spoils against the Premier League strugglers.
Despite leaving it late to draw themselves level, Naughton believes that Tottenham were worthy of a point.
"We started really slowly," he told the club's official website. "We made a few mistakes, the back four as a whole, but we got it together in the second half and came back strongly. We looked good after that.
"At 3-2, we all thought we could do it. There was still plenty of time to go as well. Even though we were behind I thought we could get another one, even two, and we got a deserved draw in the end."
Tottenham's Premier League campaign resumes this Saturday at home to Fulham.