Burnley edged towards Premier League safety as Sam Vokes' brace secured an entertaining 2-2 draw with West Brom at Turf Moor on Saturday.
The Baggies responded by scoring twice in 12 minutes - through Salomon Rondon and Craig Dawson - having previously gone almost nine hours without a goal.
Yet a first victory on their travels since New Year's Eve would elude them as Vokes capitalised on Ben Foster's poor decision to come for a free-kick to level late on, taking the Clarets to 40 points, six clear of the bottom three with two to play, while they also boast a considerably superior goal difference to 18th-placed Hull.
Vokes couldn't put his finger on one moment when he knew Burnley would be safe this season, instead looking at their first win of the campaign, at home to Liverpool, and their most recent, away at Crystal Palace, as two key victories.
Manager Sean Dyche says they can be proud of how far they've come for a club with their resources.
It was a similar story at the start of the second half when James Tarkowski thumped a header from an Arfield corner just over the crossbar.
George Boyd blazed a half-volley over as Burnley continued to press before James McClean produced a terrific covering challenge to deny Scott Arfield a shot on Foster's goal inside the area.
Vokes netted the opener after Ashley Barnes was fouled by Jake Livermore, but picked himself up to pull the ball back for his strike partner: "Vokesy was outstanding last week, outstanding again today". This is probably going to top them all though because of the magnitude of the Premier League and the teams that are involved.
Defoe has been in fantastic form this season despite Sunderland's struggles, which saw their relegation from the Premier League confirmed last week with a 1-0 loss to Bournemouth.
Tarkowski tried to redeem himself with a stinging volley that he fired into Marc Wilson's arm, but he would be caught out 12 minutes from time as West Brom claimed a victor.
West Brom lost Jonny Evans early in the second half to an ankle injury, but Pulis said he hopes the defender will be fit to return for their Friday Night Football clash with Chelsea.