The player's representative, Milan Calasan, claims he has received enquiries from the Serie A giants for the centre-half, who plays for Swiss club Grasshopper.
Calasan does not expect the 26-year-old, who is contracted at Grasshopper until 2015, to leave this month but feels he is destined to eventually join "one of the biggest clubs in Europe".
He told Sport: "I can confirm that people from Inter and Lazio contacted me and asked me about Milan. But we can only talk about a transfer at the end of the season because Vilotic is staying at Grasshopper until summer.
"His contract runs for another two years and besides that he wants to win championship with his club.
"His manager has no doubts - he is similar to Franz Beckenbauer. It is in his destiny that he will play for one of the biggest clubs in Europe at some point in his career."