Spurs scored at the start of both halves, but the hosts twice came from behind to secure a 2-2 draw at the Stadium of Light this afternoon.
The Black Cats manager told BBC Sport: "My message to [new signing] Ricky Alvarez as soon as game finished was 'Welcome to England'. This is what you are going to get week-in-week-out and you have to be ready.
"We nearly nicked it at the end, but that would have not been fair on Spurs.
"I thought we played better but the opposition was the best we have played so far. We will get the three points in the next couple of weeks."
Sunderland have drawn three of their first four matches in the top flight this season, with their only defeat coming against Queens Park Rangers.