Vardy scored 24 Premier League goals last season for the surprise champions, one behind golden boot winner Harry Kane to earn a place with England at Euro 2016, where he grabbed a vital equaliser as a substitute in Thursday's 2-1 win over Wales.
That has seen him linked with Arsenal, who have reportedly made a £20million bid for the 29-year-old, though his future plans remain on hold while he focuses on the tournament.
But Srivaddhanaprabha told the Daily Mail: "You will see the news very soon, but I think he will stay.
"I think so, let's see
We need to build the team
We keep continuing to believe that we can do something special in the Premier League and the Champions League.
"The Champions League is going to be amazing for Leicester, so let's see
Leicester is the underdog and we can still be the underdog."
Srivaddhanaprabha admits he is still "pinching himself" over the team's achievements under manager Claudio Ranieri, with whom he enjoys a close relationship.
"We talk a lot
We are like family," he said of the charismatic Italian.
"I cannot compare myself to another owner but the best thing is we love sport
The first day we talked to the team and we showed that we are doing something we love and that we can succeed.
"I think everyone in Leicester is still pinching themselves
Even the players and staff
Now the season is finished and we have to move on."
The Foxes begin their title defence away to Championship play-off winners Hull on August 13.
Source : PA
Source: PA