The US network will soon premiere its modern retelling of Sherlock Holmes, set in New York and starring Jonny Lee Miller as Holmes and Lucy Liu as Joan Watson.
The concept is very similar to the BBC's modern version of the Sir Arthur Conan Doyle stories, starring Cumberbatch and Martin Freeman.
Cumberbatch stated that he would be concerned that the show's dynamic would be different from his series due to the lack of a male Dr Watson.
"If I were the [producer], I'd be frightened of the dynamic of male friendship that you'd lose," he told TVLine. "Because that is obviously the bedrock of the books as well.
"[Now] there might be sexual tension between Joan [Watson] and Sherlock, which is [a different dynamic than you'd have] between the two men. So, that's a new thing to explore."
However, the British actor said that he has no ill feeling towards the new show, and that he wishes his friend Jonny Lee Miller good luck.
"I wish them luck, I really do. I think it will be great. It will be a different spin on it, because obviously, theirs is modern-day as well, so it needs to be different from ours, and I think the more differences, the better, to be honest.
"I don't see why they shouldn't co-exist with us," he added. "I don't think they'll steal our audience. I think people who are Holmes fans who think they do a good job of it will have a treat in watching ours and the films. So I wish them good luck!"
Elementary executives Robert Doherty and Carl Beverly recently spoke to Digital Spy about the show's comparison to Sherlock.