Goalkeeper David Marshall is among the players to have reportedly attracted from other clubs following a number of superb displays this season.
The likes of Gary Medel and skipper Steven Caulker have also impressed and Solskjaer expects a lot of interest at the end of the season.
"If we get the results and performances over the next seven games and other clubs start looking at my players I will probably be happy," Solskjaer told Wales Online.
"What it means is that we will be in the Premier League next season."
Marshall only recently committed his long-term future to Cardiff but he has been linked to a number of clubs and Solskjaer admits it is not surprising that he has caught the eye.
"David has just signed a new contract six weeks ago," added Solskjaer, who rates Marshall among the best keepers in the league.
"He has been terrific this season and he is a vital part of my squad. He's going to be immense and phenomenal over the next seven games, I'm sure of that. He's been absolutely top.
"I've said he's in the top three or four goalkeepers in the Premier League."