Patrick Mboma, making his full debut, tangled with Dean Richards and went over in the penalty area in the second half.
Black Cats boss Reid said: "We felt we had a good shout for a penalty and then they went up the other end and scored.
"Patrick said he was pulled down and let's face it, he is not going to fall down on his own in that situation - not with a left foot like his. Who knows what might have happened if we'd got a penalty?
"We had Mr Styles when we lost 4-1 at Manchester United and I wouldn't mind getting him at home sometime."
Glenn Hoddle disagreed and said: "I was up in the stand at the time so I had a good view, and my first instinct was that Dean didn't take his legs. There was just a lot of upper body wrestling."
Sunderland were also out of luck when Spurs scored their opening goal after half-an-hour. George McCartney was in the dressing room having stitches in a gashed shin when Gus Poyet bundled home a corner.
Reid said: "It is sod's law that George was detailed to mark Poyet, so it was a double whammy for us. But it is just one of those things."
Peter Reid felt Sunderland were denied a clear penalty in Saturday's encounter at the Lane.