That's the closest Villa have come.
Aside from a brilliant equaliser, the closest Villa came to scoring was Veretout's first-half effort as they finished with just three shots on target.
An Alan Hutton strike from distance was the closest Villa came and Paul Lambert's side slip to 12th in the table, one point above 13th-placed Everton.
The closest Villa went to a second leveller was when Stoke keeper Asmir Begovic tipped over a dipping Kozak strike but the Midlands side could not prevent a third straight defeat.
The closest Villa came to ending their goal drought away from home was when Hull keeper McGregor pushed away Ashley Westwood's 25-yard drive and then kept out substitute Christian Benteke's follow-up.
Sources close to Villa have confirmed the midlands club had reached agreement with the Cottagers for Dempsey with a bid of around £7million being accepted.
Now he is hoping to purchase Benteke who has three years remaining on his contract although sources close to Villa insist it is "far from being a done deal".
Grant Holt went close for Villa, before Yannick Bolasie's penalty appeal was turned down when he went down under pressure from Holt, but no contact had been made.
The visitors rode the Spurs swell of pressure and came more into the game as Gabriel Agbonlahor cut in from the left to receive the ball with Lloris quick to close the Villa forward down when he was put through, and the France international keeper also punched Benteke's effort away.
They sold the Weatherbird (to a Swiss, who was arrested after the war for using it to smuggle gold from Turkey into France), closed the Villa America against their eventual return, and sailed for New York.
