Man United put in a dismal display against Norwich City last time out but they managed to secure the three points thanks to Juan Mata’s second-half strike.
The result means that United will beat fourth-placed Manchester City to a top four spot if they win all of their remaining league games.
Speaking about the Norwich clash, Smalling said: “When we came out for the warm-up before the game we said no matter what happens out there we make sure we come back with three points.”
Smalling also revealed that losing Martial during the warm-up at Carrow Road due to injury came as a setback to United.
“I think it’s not easy because Anthony has been terrific for us all season and a real match winner for us up front. The players who came in did well and it was a much better second-half performance.”
Performances have been consistently subpar over the course of the campaign but, in the short-term, supporters will not care one jot as the next three games should prove vital in shaping United’s success in the coming years.
A clash against West Ham before a home fixture against Bournemouth will decide whether United secure Champions League qualification. Louis van Gaal’s side will then take on Crystal Palace in the FA Cup final on May 21. It is a hugely important few weeks and players like Smalling will need to give that little bit extra if United are to finish the campaign on a high note.