The 22-year-old, who rolled his arm over in the SCG nets at a New South Wales optional training session early this week, will not play in his club's clash with Northern Districts, according to Fairfax Media.
Sydney University are preparing for Abbott's absence but are leaving the option open if he does want to play come Saturday morning.
The East Torrens Cricket Club, Hughes' Adelaide grade club, is holding a special tribute before their match against Sturt.
An East Torrens official said no players had asked to sit out this week, including Hughes' state teammate Adam Zampa, who was playing in the Sheffield Shield match when Hughes was hit.
"Our club has had no one ask to sit out this week," an official was quoted as saying on 'Sydney Morning Herald'.
All grade cricket teams are preparing to honour Hughes with 63-second silences, black armbands and painting his baggy green number 408 on the field.
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