The Red Devils held on to a 1-1 draw last week after Joshua Zirkzee's goal was cancelled out by a penalty from Mikel Oyarzabal.
It leaves the last-16 tie in the balance heading into the second leg at Old Trafford, with Ruben Amorim's side's season on the line.
A loss for Man United would end their chances of any silverware this campaign, so they will be giving their all to remain in Europe.
If they do progress, they will instantly find out who they're going to take on next...
Who could Man United face?
If Man United beat Real Sociedad, they will face Lyon or FCSB.
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Lyon are currently 3-1 up on aggregate after the first leg of their tie against FCSB last week.
The French side were heading towards a draw until the final five minutes when striker Malick Fofana scored two in three minutes to claim a healthy lead.
The second leg of that tie will be taking place at the same time as Man United's second meeting with Real Sociedad on Thursday.
Should Amorim's side beat either Lyon or FCSB, then a potential semi-final against former manager Jose Mourinho could be on the cards.
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Mourinho's Fenerbahce or Rangers will be in the quarter-finals to face either Athletic Bilbao or Roma, with one of those four facing the Red Devils in the semis should they make it.
An all-Premier League final against Tottenham is possible, but Frankfurt and Lazio are sure to be contenders to go all the way.
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Europa League last 16 in full
Left side
Tottenham vs AZ Alkmaar (0-1)
Frankfurt vs Ajax (2-1)
Olympiacos vs Bodo/Glimt (0-3)
Lazio vs Viktoria Plzen (2-1)
Right side
Rangers vs Fenerbahce (3-1)
Athletic Bilbao vs Roma (1-2)
Lyon vs FCSB (3-1)
Man United vs Real Sociedad (1-1)
Man United vs Real Sociedad: talkSPORT coverage
This Europa League last-16 second-leg tie will take place on Thursday, March 13.
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Kick-off at Old Trafford is scheduled for 8pm.
talkSPORT will have live coverage of the game presented by Hugh Woozencroft.
Commentary will come from Jim Proudfoot and former Watford captain Troy Deeney.
To tune in to talkSPORT or talkSPORT 2 through the website, click HERE for the live stream.
You can also listen via the talkSPORT app, on DAB digital radio, through your smart speaker and on 1089 or 1053 AM.