quite a little
Rather a large amount; rather much; more than a little.
We are not finished; quite a little is left to do.
Cleaning the backyard needed quite a little work.
- The phrase "quite a bit" is used like an adjective only before "less", "more".
Six inches of snow fell today, and quite a bit more is coming tonight.
- Sometimes used like an adverb.
Harry was sick quite a little last winter.
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Source: A Dictionary of American Idioms