The 20-year-old Austrian scored his second goal for the club on Tuesday with an impressive strike in their 1-1 draw with Stoke City.
"When you're on the pitch, you have to try and stay in the team," Weimann told Villa's official website.
"I'll try every time I'm out there, I'll do my best and show the manager what I can do. We'll see if I get another chance.
"Now I have the taste for it I want to get a few more games, but it's up to the gaffer."
Weimann signed his first professional contract with Villa in 2010 after three years in their youth side.