Harry Kane scored four goals to help Spurs rout the Foxes, who suffered their heaviest home defeat in the league since 2004.
Shakespeare criticised his team's response after Kane effectively ended the contest with the third goal of the evening, and the Leicester boss is keen to move on from the defeat ahead of their final match of the season on Sunday.
"The disappointing thing for me when they scored third didn't see enough desire from my team and it really drained us of any belief," he told reporters.
"There are no positives. If you get beaten 6-1 there are no positives."
Leicester host Bournemouth on the final day knowing that only a win will give them a chance of finishing in the top half of the table.