The Sun says Villa boss Alex McLeish is planning a bid for Lonergan.
The former England Under-21 stopper looks likely to quit relegated North End this summer.
McLeish views Lonergan, 27, as a potential No 2 keeper for next term behind England international Ben Foster, who he hopes to sign from Birmingham.
Villa chief Big Eck believes he can land Lonergan for a bargain price from League One Preston.
North End already have a replacement lined up with Iain Turner expected to join from Everton having impressed on loan last term.