Both teams trail fourth-placed Manchester City by four points, albeit having played one game less.
Out of all the teams in the top six, Chelsea are the only side who look to have Champions League football wrapped up.
Sky Sports pundits predict the Premier League top four
Thu, April 6, 2017
Click to reveal the Sky Sports pundits' top four predictions
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Thierry Henry predicts…
"United threw away a golden opportunity to give themselves a step up into that battle by drawing with West Brom at the weekend," he told Sky Sports.
"But if they can get a couple of wins or six points under their belt, that sets them up well for the derby.
"It sets them up well for the other games they have against the top six teams. I wouldn't discount them.
"Jose will be pushing them right to the end, and if they put a strong finish in they may just surprise people.
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Niall Quinn believes Arsenal and Manchester United will miss out on the top four
"Arsenal have to dig really deep. From what I saw from them at the weekend, they'll probably be delighted to get a draw and didn't go anywhere near to win the game late on.
"They've lost their confidence a bit and you felt it in the stadium.
"Arsene Wenger was talking after the game basically saying it's very bad and they may not make it to the Champions League. I'd be very wary of Manchester United putting a run together.
"Spurs under Pochettino are a team who have lovely individual players but they've got a collective spirit. A desire and a hunger that is different to the old Spurs teams. The difference between Spurs and Arsenal is Spurs have a defence to be proud of."