The bookmakers' odds have tumbled in recent days on the Uruguayan being named as the permanent successor to Dougie Freedman once the 2015/16 season has ended.
Nottingham Post reporter Paul Taylor has been looking at Poyet's managerial career to date.
Martin O'Neill's name will not go away however and the Republic of Ireland boss has been busy this week, being called upon to compare the achievements of Nottingham Forest under Brian Clough with those of another of his former clubs, Leicester City.