However, Biggar has made excellent progress with his recovery since returning from Dublin and the injury is not considered long term, allaying fears he could miss the rest of the tournament.
A decision over the 26-year-old's availability for this weekend will now be made by Wales head coach Warren Gatland and his medical staff later in the week.
Gatland had been scheduled to name his side on Wednesday but that is now set to be pushed back to Thursday as he waits to see how Biggar's ankle responds to treatment.
Biggar was replaced by Rhys Priestland against Ireland and his goalkicking - he scored 11 points - helped haul Wales back into the contest from 13-0 adrift.
The Wales squad will meet up again at their Vale of Glamorgan base on Wednesday to prepare for Scotland's visit to the Principality Stadium.
Full-back Gareth Anscombe should be fit for selection after being forced to withdraw from the Ireland game due to a tight hamstring, with Liam Williams replacing him.