But they really do not need to be – and they can turn it into another good point on their return home.
Georginio Rutter ignited his stop-start season with an equaliser deep into added time to keep their nervy hosts in the relegation places.
It was the second time they had come from behind, each of them very late in a half.
Kaoru Mitoma sent home a volley likened to a Marco van Baster by his head coach Fabian Hurzeler to secure their first leveller.
The national and international focus will be Spurs’ continuing plight as they bd to avoid the Championship.
But the big story for Albion is that push for the European stage on which they performed with current Spurs head coach Roberto De Zerbi.
And the way they used their bench and players who have had lesser roles to secure a point can stand them in good stead.
It will be a very good result if they can overcome injuries and mental and physical fatigue from this intense contest in North London by the time Chelsea visit the Amex on Tuesday.
That is now looking like a huge game for both teams.
Both levelling goals saw players at fault when Albion conceded then redeem themselves.
Mitoma, on for the injured Diego Gomez, failed to track a run by Pedro Porro as Xavi Simons chipped a nice little ball into the box.
The exposed Bart Verbruggen had to come for the ball but Porro beat him to it to head the 39th-minute opener.
Simons shot against the post moments later although it looked like there was an offside in the build-up.
But Mitoma replied in sensational style with a volley from a precise Pascal Gross cross-field ball.
Albion looked like they could go on to increase home anxieties and take the lead after the break.
But Simons brought the house down on 77 minutes when he stepped inside and curled home via the inside of the post.
That came after Jan Paul van Hecke, bringing the ball out from the back, was caught out by Lucas Bergvall, one of five substitutes who had been introduced in a stoppage immediately before that.
Spurs, though, never totally conquered their nerves.
There was serious alarm in added time when Ferdi Kadioglu hit the side-netting with a volley which many around the stadium thought had gone in.
But no one was any doubt on 90+5 when van Hecke won the ball off Kavin Danso in the Spurs box and cut back for Rutter to crash his finish high into the net.
The injury concerns will focus on Gomez and Mitoma.
There was no clear news on either after the game.
Gomez appeared to land painfully on his knee as he climbed high to contest a header and was clearly in a lot of pain.
And Mitoma asked to be taken off as he sat disconsolately on the turf just before the Simons goal which Spurs hoped was the start of their salvation.