Wales chiefs are set to talk about Robert Page's future at a council meeting in the coming days.
The Dragons' interim coach is being admired by several club sides in recent weeks.
Burnley are among those who have asked about his availability.
Page, who is standing in for Manchester United legend Ryan Giggs due to the latter's legal situation, is on a match-by-match contract with the Welsh FA.
Whether they qualify for the World Cup through the playoffs or not, his contract will be up.
The Sun says FAW council members want to discuss the coach's situation, as they seek to retain continuity with the national side in the coming months.