The Danish crime drama's third and final run will premiere in the UK on BBC Four this Saturday (November 17).
"We've had great fun and worked very hard, but we agreed from the start that it wasn't going to be a neverending story," Sveistrup said at a recent screening for the final episodes.
"I just think we are very proud of what we did and these stories, they speak for themselves. And I'd hate it to just be another show - just another mass-produced show - ongoing and not really reflecting anything."
Sveistrup admitted that it would be possible to produce more episodes of The Killing - which stars Sofie Grabol as detective Sarah Lund - but voiced concerns that the show could dip in quality if allowed to continue.
"I think we could make 1,000 episodes of Sarah Lund - I think we could do that, but they wouldn't be good ones," he suggested. "The problem with [other] television - it isn't about quality. It's about... I don't know what it is. Maybe only entertainment."
The Killing's final series launches with a double-bill on BBC Four at 9pm on Saturday.
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Watch a trailer for the final series of The Killing below: