Deliver while caching

[Abraham Cruz Sustaita]

We need to serve videos from varnish, but the problem is that it deliver
the file untill it finish caching it, so if the file weight 500Mb, the
client will have to wait around 1 minute in order to varnish to cached it,
and then varnish will start the deliver to the client.

Is there any way to deliver the file while it is being cached?
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