The Midlands outfit are in danger of dropping down into the Championship due to their second-from-bottom position in the Premier League table.
"I think if we can keep going then we'll win more than not, that's for sure," Lambert told the club's official website.
"If we can get through this period, we'll kick on. Things will go our way if we play like that because hard work always pays dividends eventually."
Villa secured a 3-3 draw with Everton on Saturday.