Marcus Rashford's composed finish in the second minute of stoppage time at the end of the second-half secured their latest recovery from a losing position and their third victory from four in the league, ultimately further easing the pressure on their manager.
"Manchester United changed things and made substitutions, but I was pleased with my players attitudes to the game and they gave everything to the match".
When asked what two positive results could do for United's season, Smalling said: "I think that it would galvanise us. It is an especially tough month now and potentially after the global break when we have a lot of home games it's all about making sure we get results and move up that table despite the tough games".
"I started [at half-time] by saying it was impossible to play worse than we did so the second half will be better for sure".
And just when the game seemed to be heading to a stalemate, Marcus Rashford scored the victor from close range in the injury time to seal all three points for the Red Devils.
Smalling admits it's something the side need to work on if they are to be successful this season. I feel like people watching this game will not believe how hard we trained this week.
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He believes more in himself. "He is 23 and he can be a better player". "He is sharp, fast, clever, fighting, ambitious and he's decisive".
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"I can't understand why we started slow". I felt we needed him to give more balance and to recover the ball faster.
"We were ready for everything, I can't understand the mentality that brings me more white hair!"
The Turin outfit have made a near flawless start to the season in all competitions, dropping points only in a 1-1 draw with Genoa.
"We know that (Massimiliano Allegri) cares a great deal about the defensive movements in midfield, we know that we have to improve in that area". However, for the time being, United have found some semblance of form in the Premier League, picking up 10 points of the last possible.
They usually travel from the Lowry, in the city centre, but switched to the Hilton, which is just a short walk away from the stadium, though even that did not suffice as Jose Mourinho was forced to get off the team bus and walk to Old Trafford. "This is a club that is talked about more than any other and we as players need to stick together and ride out the tough times and stay together in the good and try to keep them flowing as much as we can".