permanent charge of the Premier League club, British media reports indicate.
Shakespeare had assumed a caretaker role in February after Italian Claudio Ranieri, who led Leicester to a stunning English Premier League title triumph in 2015-16, was dismissed.
This was when the club was mired in relegation trouble.
The 53-year-old led Leicester away from trouble and steered them into the UEFA Champions League quarter-finals where they lost narrowly to Atletico Madrid.
Leicester have won only one of their eight Premier League games this season and are third-bottom of the table.
Shakespeare's last game in charge was Monday's 1-1 draw with West Bromwich Albion.
