Lustig is available on a free transfer as his contract with Norwegian side Rosenborg is due to expire.
The 24-year-old has also been linked with a move to Espanyol and Fulham.
Lustig has confirmed he would be interested in a move to Scottish giants Celtic.
“He’s a right-back who plays in Norway but he is Swedish. He is a player we have been tracking for a while,” said Celtic boss Mikael Lustig.
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The start of the 2017-18 Premier League season is just around the corner and is shaping up to be one of the most competitive yet.
As always it is the so called “big clubs” that have splashed the most cash in the transfer window so far this summer. Manchester United or City? Arsenal or Tottenham? Who are the winners and losers of the transfer window so far?