Phrase similar to "in the offing"

The meaning of "in the offing" I guess is "something that is likely to happen in the (distant) future"

Is there any phrase that describes something that is likely to happen soon?

Solution 1:

Your premise is not correct. According to Oxford Dictionaries Online the phrase in the offing means

Likely to happen or appear soon: there are several initiatives in the offing

Similarly Collins

likely to occur soon

Solution 2:

In store (for somebody/something) — TFD

planned or likely to happen.

"We have a big surprise in store for you."
"She's got a difficult few months in store, with her husband's illness."

In the not too distant future — M-W

at a time that is not long from now:  soon

"Changes are expected in the not too distant future."