Heart's signing of Australia international Beauchamp was regarded by many as a coup last season, ahead of the fledgling club's debut campaign in the Hyundai A-League.
However, Beauchamp, who played for German Bundesliga outfit Nuremberg from 2006 to 2008, lost his place in the Heart starting line-up towards the end of the season.
Sensing he was not part of coach John van't Schip's long-term plans, Beauchamp joined Sydney at the start of this season, where he has been ever-present so far.
And despite the fact that he'll be coming up against his former team-mates on Saturday, Beauchamp insists he will not be going into the game with revenge on his mind.
"I've got nothing to prove," Beauchamp told The Age. "I'm just going out there to do the same thing I do each week and that's all I'm focusing on.
"To do well for the team and hopefully get a result out of it."
Beauchamp will be hoping he has a better outing than his last one against Adelaide United, where handed Dario Vidosic a goal after a poor touch.
Nonetheless, the 30-year-old insists he has the backing of his team-mates, despite last weekend's howler.
"I tried to pop it up for Ivan [Necevski] but it came off the right side of my head. I won't be doing that again - I'll be getting rid of it for sure.
"Tezza [Sydney captain Terry McFlynn] came straight up to me and told me 'you're better than that... you've just got to try and forget it', and I did.
"Credit to the other boys who got right behind me straight away and that's the team spirit we have here in Sydney."
Sydney will welcome back goalkeeper Liam Reddy and striker Mark Bridge for the game against Heart, while marquee signing Brett Emerton is expected to be fit, despite coming off against Adelaide last weekend.