BBC reports that the 20-year-old Austrian was one of the few bright spots for Villa last season, scoring two crucial goals late in the campaign which ultimately kept them up.
And Weimann hopes Lambert will prove as supportive of youth as his predecessor.
In the meantime, Darren Bent believes Aston Villa are 'going places' under Paul Lambert, with the club's crop of promising youngsters set to lead the charge.
TeamTalk.com reports that Villa underachieved massively under Alex McLeish last season, with a forgettable campaign seeing them dragged into a Premier League basement battle.
Bent said: 'We have some good youngsters coming through and this year is their chance to shine.
'With one or two additions he (Lambert) brings in, it could be a really good year for us'.
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