Hitzlsperger signed a three-year deal when he joined the Hammers from Lazio last summer, but is expected to leave the club following their relegation from the Premier League.
The Daily Star reports that Hitzlsperger is set to rejoin Villa in a £500,000 deal this summer.
The Hammers are ready to sell Hitzlsperger as they are working to slash their wage bill this summer.