The 34-year-old midfielder announced earlier this year that he will not renew his contract with Mamelodi Sundowns beyond June 2017.
At the time, Modise confirmed that he wanted to play for two more seasons before retiring from professional football.
Now, according to media reports, Amakhosi have been monitoring the midfielder's situation with interest since the day the story broke.
If Modise eventually leaves the Brazilians at the end of the current campaign, he would be eligible to sign with a club of his choice on a free transfer.
His coach at Sundowns, Pitso Mosimane has already indicated that he won't stand in Modise's way if he wants to leave the club for greener pastures.
However, Mosimane revealed that he would like the veteran midfielder to stay and possibly retire at Chloorkop.
Mosimane gave Modise his first professional contract at SuperSport United over a decade ago.