A point at the Liberty Stadium is generally considered a decent result, but Spurs were left disappointed at the weekend as they were unable to secure all three points.
The Lilywhites had dominated for large periods of the game, and Alderweireld says that the whole side thought they had let an opportunity slip after the match.
"I think we deserved to win,” the Belgian defender said. “The first goal was a good goal from them but their second goal was so unlucky from our side.
“We’ve shown great character again and we were very good in the second half, creating lots of chances.
“We deserved to win, unfortunately that didn’t happen, but a point at Swansea is not bad, although the overall feeling is that we’ve dropped points, which says a lot about where we’re at.”
Tottenham actually had to come from behind twice against Swansea, with Christian Eriksen bagging a brace to earn them a point.
The draw extended Spurs' unbeaten run to seven matches, and ensured that they continued to build momentum heading into the international break.
Tottenham have only lost twice in all competitions this term, and they appear to be a team heading in the right direction.
At the moment, Mauricio Pochettino's side are just two points adrift of the top-four, and they will be keen to close that gap when they take on Liverpool in a fortnight's time.