What is another word for within a little?
Pronunciation: [wɪðˌɪn ɐ lˈɪtə͡l] (IPA) 
There are several synonyms for the phrase "within a little," which implies a small amount of time. Another way to express this would be to use the word "shortly." Other options include "soon," "momentarily," or "in a bit." These phrases indicate that something is going to happen soon, but without too much of a delay. It is also possible to say "in a while," which suggests a slightly longer time frame, but still emphasizes that the event or action will occur relatively quickly. No matter which synonym you choose, each one expresses the idea that whatever is coming up is near, making them useful in a variety of contexts.
