The Danish defender joined the club last summer, but he was forced to miss the majority of the 2013-14 campaign after sustaining knee ligament damage in September.
However, Lambert expects the 21-year-old to be back amongst the squad when they return for pre-season training.
"Jores trained towards [the end] of the season for a couple of weeks and was doing great," the Scot told the Birmingham Mail.
"He'll probably need fitness like anybody else because he's been out a long time. I think Jores will be okay for the start of the season."
Villa finished last season in 15th place in the Premier League table.