The Foxes continued to look unsafe on the break as Stoke pushed forward, and Mahrez dragged a shot wide in the 80th minute which should have put the game to bed.
And Shakespeare, who became the first British manager to win his first four Premier League games in the process, said things were now looking much brighter around the club. "We also (like) to make sure there is no complacency".
The Foxes continue a good run which has helped them climb out of the relegation zone since Craig Shakespeare took over from sacked Claudio Ranieri.
"We know in football every game is different". "We were just a little bit off the pace in fairness, Leicester were sharper to the ball".
Leicester will be without captain Wes Morgan, who missed the 3-2 victory at West Ham United, for Saturday's home match against ninth-placed Stoke City, as the central defender is yet to recover from a back injury.
Mark Hughes confirmed that Jack Butland and Xerdan Shaqiri remain sidelined for the game.
The tragic end to the Ranieri era at the King Power seems a long time ago now, and Craig Shakespeare's ideal four games to start his tenure at the helm will give Foxes fans plenty of confidence coming into an eminently winnable game against Stoke.
Palestinians demand sanctions against Israel over new settlement
The settlement noted also that settlement activities are illegal under worldwide law and present an obstacle to peace. But right-wing Israeli leaders have been emboldened by the far less critical stance of US President Donal Trump.
The Premier League match between Leicester and Stoke will be broadcast online only.
- Stoke have now kept just one clean sheet in their last eight Premier League away games (W1 D1 L6).
Stoke City 11: Grant, Johnson, Shawcross, Martins Indi, Pieters, Arnautovic, Whelan, Allen, Sobhi, Walters, Berahino.
Leonardo Ulloa has scored in three of his previous five Premier League games against Stoke, but hasn't featured in a Premier League game for the Foxes since January.
"I am quite open to whenever they want to [hold discussions]", Shakespeare said of the club's owners.
"I can see Marko Arnuatovic and Jamie Vardy both scoring, but I can't separate the two sides".
Shakespeare's brief tenure has been accompanied by the return to form of Vardy.