The Republic of Ireland goalkeeper suffered a groin strain during Villa's 0-0 draw at Fulham.
And the ?4.5million summer signing from Manchester City faces a race against time to be fit for his side's next match at Villa Park.
Injury doubt: Shay Given hopes to be fit after straining his groin
Villa boss Alex McLeish said: 'Shay had a bit of a tight groin, that's why James [Collins] took the goal-kicks. But we're hoping he's okay.
'I need to wait and speak to the doctor but within 24 hours is normally the time to tell.'
Having played second fiddle to Joe Hart at City last season, Given is pleased to be back playing in the Premier League.
He said: 'Last year was frustrating - it's probably well-documented and the word's overused at this stage.
Firing blanks: Alex McLeish (centre) watched his side draw 0-0 with Fulham
'But it's nice to be back and nice to feel wanted again and feel part of the team and be playing in front of big crowds again.
'In the run-up to the game, there was the excitement of the Premier League starting again and, for me personally, knowing I was going to be playing was pretty special.
'So it's great to be back and it's nice to start with a clean sheet with my new team.'
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