Begovic was the unlikely scorer of Stoke's opener in last weekend's 1-1 draw with Southampton, with his wind-assisted punt down field clearing the Saints defence and bouncing over keeper Boruc.
It meant the Bosnian became the fifth goalkeeper to find the net in the Premier League; Tim Howard, Brad Friedel, Paul Robinson and Peter Schmeichel are the other four.
Tremmel, who will start for Swansea with Michel Vorm suspended following his red card at Cardiff, has never scored himself and knows Begovic is unlikey to be on the scoresheet again.
But he will be wary, to ensure he avoids a goalkeeper's nightmare scenario.
He said: "I saw Begovic's goal last weekend, but I don't think he is a dangerman, it was just quite windy last weekend.
"I have not scored a goal myself yet. It's one of my aims. I have gone forward a few times in the last minute for a corner and I have touched the ball with a header or something, but I have never managed to get one into the net. There is not much time left for me to do it.
"But it is definitely not the best feeling to concede like that, especially for Boruc who has had a good season so far. It's almost against the law for goalkeepers to concede like that.
"I haven't conceded a goal like that, but of course I will be on my guard. Begovic can kick the ball a very long way."
Tremmel will hope to use Sunday's fixture at the Liberty Stadium to stake a claim to usurp Vorm as Swansea's number one, but knows, more importantly, Michael Laudrup's side need to improve on a run of just one win from their last five Premier League games.
"I am looking forward to playing, as I always do," said the German. "It's a very important game for us, if we don't win we will be getting close to the relegation zone, and obviously we don't want that.
"The last few years Stoke have been the strongest team in the Premier League when you talk about high balls into the box. They have a lot of big players, but we are aware of that. We have to keep the ball on the ground, pass it quickly and try to create chances.
"We mentioned set-pieces before the match at Cardiff. Our record before that was one set-piece goal conceded in 18 games, and that's a very good record.
"But teams like Stoke will always create chances from set-pieces because they have so many big lads. I am not too concerned about that - as long as they do not score."