The club captain is hoping that a new contract will be offered to his Austrian team-mate after the striker scored in the important 3-2 victory over QPR at Villa Park on Saturday
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And Vlaar, who played the full 90 minutes to help Villa to three important points, wants to see his hard-working team-mate Weimann at the club in the future.
"He [Weimann] keeps on going, it's unbelievable. If you see his workrate it's crazy and he's doing it every game," he told reporters.
"He scores a lot of goals and he's always in the right spot at the right time. I heard [he and the club] are talking to each other, but of course it's very important that he stays playing for Aston Villa.
"I know [players in the youth team] from Holland. They played Austria and there was only one name they took and that was Andi Weimann."
The win for Villa follows their crucial 2-1 victory away to Reading on March 9, which helped to keep the Royals below them in the table.
Vlaar admitted that taking maximum points from their two most recent fixtures was the only target for Villa.
"We got six points out of two games and everybody is very happy," he added.