The Premier League champions continued their surge away from the relegation places with a 3-2 victory over West Ham and are now six points clear of 18th-placed Hull.
Shakespeare has been handed the manager's role until the end of the season after taking over from Claudio Ranieri and has also guided them through to the quarter-finals of the Champions League.
Following some sluggish performances under Ranieri, Leicester seem to be repeating some of the form they showed last season and could now make a late push for the top half.
The interim coach admits he has been impressed by the improvement of his troops, and has credited hard work and endeavour for their upturn in form.
"There is no secret," Shakespeare told the club's official website. "I think hard work, commitment and endeavour, we showed all of them today, along with some good footballers.
"There is no secret. The hard work is paramount to success and we have to keep doing that."
Next up after the international break is the visit of Stoke and punters may opt to use their free bet to back the Foxes to continue their winning run.