How in depth should a screen reader when it does the first read through of a page and a form

Take the following mockup as our example case:

Page Title

Page Instructions

Field 1*: [ text input ]

Field 2 : [ text input ]

Field 3*: [ text input ]

[Reset] [Submit]

We have noticed that when a screen reader (using default settings) first reads through the following page, it reads all the text content correctly. But the screen reader does not state if a given field is required on this first read through. When tabbing through to the fields after the fact, it will state if a field is required on first focus.

Is this acceptable from an accessibility stand point?