The Windies job is vacant following the dismissal of Ottis Gibson last August.
The West Indies are being coached at the World Cup by Stuart Williams and Andre Coley with former captain Richie Richardson serving as manager.
The Irish said neither Simmons nor the board will comment on the coach’s future until the tournament was over.
“It is not something we want to talk about when the tournament is on,” an Ireland spokesman said. ???Nothing has been finalised. It is definitely not a done deal.”
Simmons, who turns 52 next month, has enjoyed considerable success in his eight years with Ireland, taking the non-Test playing nation to three World Cup and four World Twenty20 appearances.
His contract will run out in December, but it is unlikely Cricket Ireland will stand in the way if Simmons is offered the job with the West Indies, who plan to have a new coach before the home series against England starting next month.
Simmons played 26 Tests and 143 one-day internationals during his 12-year career with the West Indies that ended in 1999.