The Pole wants more game time and Villa want competition for 39- year-old Brad Friedel and his compatriot Brad Guzan.
Flying Pole: Aston Villa's Richard Dunne (left) has his header saved by Manchester United goalkeeper Tomasz Kuszczak during the Carling Cup final
The 27-year-old has made less than 30 Premier League appearances for United since joining United in the summer of 2006.
And he also faces competition from Ben Foster, who manager Sir Alex Ferguson has tipped to be the future England No 1.
Waiting for his chance: Tomasz Kuszczak
He did play for United in this season's Carling Cup final victory over Villa.
Kuszczak, who is contracted until 2012, admitted: I don't t know how much longer I can stay on the bench.
'I have waited for four years and I enjoy my time here, but maybe I need to change it.'