It sounds very redundant. "Imminent" means something is just about to happen, which means "soon". More appropriate ways of saying it would be: "I don't see that happening anytime soon." "I don't see that happening imminently." "It's not imminent." "It's not happening anytime soon.

Basically "not going to happen very soon". They have added 'imminently' to what is a fairly normal phrase. Imminently means 'very soon', so using 'imminently soon' is a little odd, but certainly clear to a native speaker.

This sentence seems a little convoluted (too complex, too many words than needed). That is because “Imminently” means very soon, so there is no need to add “soon” after “imminently”. More commonly, people say “I don’t see this happening anytime soon”. What that sentence means is that the action might not happen in the foreseeable future (in or after a short time). The use of “imminently soon” in English is called a “tautology” which means saying the same thing twice. Hope this helps! Feel free to ask me more questions :)

not likely to occur in the immediate future.

It means , not likely to happen any time soon or the near future.