Bolt, 32, is a free agent after undergoing a six-week trial period with A-League side Central Coast Mariners.
After pricing himself out of his first professional contract after his media-frenzied cameo appearances in the pre-season, his career is seemingly hanging in the balance.
The 100m World-record holder also rejected a contract offer from Champions League hopefuls Valletta FC, and Michael Ricketts, the Jamaican FA president, has said he is frustrated by Bolt's recent actions.
"I am a little disappointed that Usain hasn't signed up with a Jamaican club," Ricketts told ESPN FC.
"That would give us a chance to see a lot more of him.
"If he shows he's good enough to make the Jamaican team then he will be called up, but we are following his progress -- we are watching him closely.
"The coach will make a decision but we would love to see him in a serious, real match situation.
"We are hopeful because Usain would certainly be a crowd puller. If he turns up in a Jamaican outfit then a lot of people would want to turn up and watch Usain Bolt play football.
The eight-time Olympic Gold medalist would be welcomed by the Reggae Boys, according to the leader of the nation's FA.
Rickets added; "Usain has a special attribute in his speed. If he can add a little bit of skill, some flair, he could supplement this Jamaican team.
The players would certainly welcome someone like Usain. I have had informal discussions with some of them and they are excited at the prospect of playing with Usain.
"If he can make the transition from being a superstar on the track to being a good enough football player, then we will certainly call him up."