Weimann has 18 months left of his current deal and Villa are hoping to secure the long-term future of the Austria international.
The 21-year-old broke into the first team last season and scored a vital injury-time winner against Fulham as the midlands club stayed up by only two points.
But it is during the current campaign that he has made a sustained impact and is their second top scorer with nine goals.
Weimann has formed a productive partnership with 11-goal Christian Benteke and the duo have kept record signing Darren Bent out of the side for lengthy periods.
His tally includes a double in the 3-2 defeat against Manchester United and another in the 3-1 win at Liverpool.
Villa boss Paul Lambert recently described Weimann as a "natural finisher."
He said: "The way Andreas conducts himself on the pitch and in training is excellent.
"He has been really on top of his game and taken his chance in the first team."
Weimann joined Villa as a 16-year-old from Rapid Vienna and had two spells on loan at Watford before before signing a new three-year deal with his parent club in August 2011.
He won his first senior cap for his country against Kazakhstan in October.