The player has yet to complete his medical at Swansea and his £6.8million move from Hoffenheim has not been ratified.
Sigurdsson, who scored 7 times in 18 games while on loan at Swansea last season, had been due to complete his move from parent club Hoffenheim by the end of the week.
The 22-year-old could now delay his decision until he knows who Swansea’s next boss is.
Source: DSG