The Manchester City star did not join the provisional squad in Austria as he stayed at home to receive intensive treatment on his ankle injury.
Barry suffered the injury in City's penultimate game of the season against Tottenham on May 5 but has vowed to make Fabio Capello's final 23.
Middle man: Barry has been a regular starter for England under Capello
Moment of panic: Barry hobbles off against Spurs at Eastlands
The Italian must submit his list to FIFA by June 1 and 29-year-old Barry is due a scan on Monday.
He said: 'I've been having regular sessions with the medical staff at Carrington and they are pleased with how things are going.
'I'm feeling positive still and the medical staff are being brilliant - they are doing everything they can to help me.
'The treatment on my ankle has been going well.'
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