At that stage, Jose Mourinho’s side looked completely out of sorts but the half-time introduction of Lucas Moura and Giovani lo Celso sparked the visitors.
It was Lo Celso’s superb through ball that forced a rash challenge on Eric Lamela by Ben Mee and Alli scored from the penalty spot.
Burnley’s players believed they should have had a penalty minutes later when Davinson Sanchez made a strong challenge on Wood, but nothing was given.
In a frantic finish, Lo Celso almost scored with a curling 20-yard effort before Lloris denied Matej Vydra from point-blank range.
The result means Tottenham have now gone five games without a win in all competitions – their worst run since they went seven without a victory in the autumn of 2016.
Dele’s goal was his first in nine matches in all competitions.
The England man was used as a central striker by boss Jose Mourinho, who is trying to find a solution to the lack of striking options at his disposal following the injuries to Harry Kane and Son-Heung min.
Dele looked more of a threat once Mourinho changed the shape of his side at the break but he lacks the physical presence to unsettle Burnley’s defensive pair Mee and James Tarkowski. Mee in particular was a commanding presence once Tottenham sorted themselves out after the break and ensured goalkeeper Nick Pope was not truly tested.
The result leaves Tottenham four points behind Chelsea, having played a game more. Unless there is a swift reversal of fortunes, their four-year run of top four finishes will come to an end this season.
