The 22-year-old striker has yet to make a single start for the Villans in the league this season, having come on as a substitute on seven occasions.
The Englishman has not scored for Villa in a competitive match in two years since his move from Chesterfield in the summer of 2012.
However, Bowery looks set to get a chance to break his duck against City at the Etihad Stadium, because of a knee injury to Gabriel Agbonlahor.
The 27-year-old picked up a knock during the Villans' 3-1 victory over Hull City on Saturday and is likely to miss Wednesday's clash in Manchester.
Villa manager Lambert has said that he may opt to start Bowery against Manuel Pellegrini's team, and insists that he has faith in the youngster's abilities.
"There's a good chance," he told reporters when asked whether Bowery might play.
"I need to see how Gabby and Andi (Weimann) are. But, yes, there's a good chance."
Bowery replaced the injured Agbonlahor after 24 minutes against Hull at Villa Park, and quickly conceded an own goal to bring the scoreline level at 1-1.
But he then forced a good save from Steve Harper before setting up the second of Andi Weimann's two goals with a chipped cross. In the second half, Bowery again tested Harper after getting behind the Tigers defence.
"It was a massive performance from Jordan (against Hull) and I'm delighted for him actually," added Lambert.
"A little bit more belief in his brain and he could do really well. It's about getting a bit more belief in his own mind that he's earned the right to be at this club.
"Then he could be a really good player. But I thought his performance was outstanding. His running of the channels, getting hold of the ball, his work-rate, it was excellent.
"He did great down the channel for Andi's second goal and he will have been feeling it and tired after the match. But he was fantastic.
"He's only a young kid. But he's got a right good opportunity to go and try and do something as a footballer.
"If he performs like that, then he gives you a problem."