United lost Javier Hernandez to an ankle injury at the weekend and with Dimitar Berbatov ruled out with his own ankle problem, Welbeck is likely to start despite only just returning from a muscle strain sustained on England duty on November 12th.
"We think with Hernandez that it's torn ankle ligaments unfortunately," said United coach Sir Alex Ferguson after Saturday's 1-0 win at Aston Villa.
"That will keep him out for a month. We're having a torrid time with injuries at the moment.
"But Danny Welbeck came back at Villa, got some time on the pitch, and he gives us an option for Wednesday. He's not had a lot of football recently so it's something I'll have to consider.
"But I thought Nani did all right down the middle and Antonio Valencia also did very well when he came on so we've got some options up front."
Victory at Villa Park represented United's fourth 1-0 win in five league games since their 6-1 humiliation at home to Manchester City, but they continue to stutter in cup competitions.
Ferguson's side were knocked out of the League Cup by second-tier Crystal Palace last week and last season's beaten finalists have picked up only two wins from their five Champions League group games to date.
The 2-2 draw at home to Benfica in their last game gifted the Portuguese giants a place in the knockout phase and means United must not lose at Basel to avoid what would be only the third group-stage exit in their history.
United last went out at this stage in 2005-06 and Wednesday's game will take place exactly five years to the day since the 2-1 loss at Benfica that abruptly curtailed their involvement in that season's tournament.
Back then, United needed a win to go through, but at Basel's St Jakob-Park stadium, a draw will suffice.
The hosts, though, will be gunning for a famous upset and, despite having only once reached the knockout rounds before, they will be buoyed by the 3-3 draw they took from Old Trafford in the reverse fixture on September 17th.
A quick-fire Welbeck brace put United 2-0 up inside 17 minutes but Basel hit back through Fabian Frei before an Alexander Frei double took them to the verge of a shock result, only for Ashley Young to head home a last-minute equaliser.
Alexander Frei -- no relation to his younger team-mate -- believes Basel's performance in Manchester gave Heiko Vogel's side belief that they could compete with Europe's elite.
"The guys are really proud we got a 3-3 draw and it is something that will stay with them for the rest of their careers," the Swiss international striker told the UEFA website.
"But the way I see it, it was more important for the future in general -- when it happens, it's absolutely amazing and something we may never experience again at Basel, but it shows that we have a future in UEFA competition."
Young's late goal preserved an unbeaten home record in European competition stretching back to 2005, and United are equally formidable on the road, having avoided defeat in their last eight away fixtures.
In the absence of the suspended Michael Carrick, Ferguson could ask Phil Jones to continue in the central midfield role he occupied against Villa.
"Jones is a natural centre-back but he's so versatile he can play in midfield," said Ferguson.
"We played him there because we don't have Michael Carrick for Wednesday because he's suspended and we have to look at options.
"We've also got Darren Fletcher available and we didn't want to use Ryan Giggs against Villa because of the importance of Wednesday."