The Red Devils were previously 12/5 (3.20) outsiders prior to the Brazilian injuring his metatarsal last Wednesday – which could put him out for both legs - and have since seen their odds drop accordingly.
Of course, that still makes them underdogs in what will be a tough tie regardless of whether Neymar is fit for the return fixture in France, but the news will certainly be welcomed by the Old Trafford faithful.
The status of the Brazilian could not come at a better time for Ole Gunnar Solskjaer, who has a 100 per cent record in charge of the club since taking over in December – an eight-match winning streak.
Not since January 2017 have United won that many games in a row – when they were victorious in nine straight – and the club will be hoping to maintain that momentum for the visit of PSG.
Initially 5/2 (3.50) underdogs for the first leg after the draw back in December, a combination of their good form and Neymar’s injury has seen United shorten to 13/10 (2.30). That, in turn, is in from 9/5 (2.80) last Wednesday.
Despite the prospect of losing Neymar for at least a few weeks, the Ligue 1 champions are unlikely to be discouraged ahead of their trip to the Theatre of Dreams.
Even without one of their stars, PSG still boast a potent attack with the likes of Kylian Mbappe, Edinson Cavani and former Red Devil Angel Di Maria all more than willing to contribute.
The trio combined for all four goals as the Ligue 1 champions swept aside Rennes 4-1 at the weekend and it is little surprise that William Hill have them as 4/9 (1.44) to qualify, slightly out from 4/11 (1.36).
They are 6/4 (2.50) to win the first leg in Manchester after being 21/20 (2.05) at the time of the quarter final draw, but do not have history on their side - having won just one of the 10 matches they have played in England.