Given has recently enjoyed a successful loan spell with Middlesbrough where he kept 10 clean sheets in 16 matches.
Unfortunately for Given, the deal could not be extended through to the end of the season as Villa would have been unable to recall him at 24 hours' notice.
The Republic of Ireland international, who is out of favour at Villa but still has another two years remaining on his contract, can join another club on loan.
Shay Given: "Hopefully something will happen in the summer somewhere.
"It has been really frustrating not playing. That's obvious for everyone to see and the window doesn't open until the summer, so maybe there is a Championship club out there who might want me.
"I might go back out on loan again somewhere before the end of March. Aston Villa want me out of the door, so something might happen."