Lustig admits he has spoken to fellow Swede Daniel Majstorovic about life at Parkhead and feels he would be comfortable in a green and white shirt.
"I'd fit in at a club like Celtic," Lustig told the Daily Record.
"I have not had any contact with them personally but my agent has.
"Celtic is pretty much the same as Rosenborg when it comes to how they play.
"My dream is to go to a club in a bigger league and play against the best players. But my style of playing is best suited to a team in the top of the league who plays an attacking style.
"Celtic seems exciting. It is not the best league but it sounds interesting.
"I have not spoken with Johan (Mjallby, Celtic's assistant manager) but I talked with Daniel to check things out."