Manchester United sit sixth in the table, two points behind fourth-placed Arsenal, and 14 adrift of leaders Chelsea.
The Red Devils are now unbeaten in their last 15 Premier League games, which is currently the longest undefeated streak through all of Europe’s top five leagues.
And with Jose Mourinho’s men closing in on the top four, Smalling believes his team will be competing for Champions League football come May.
Chris Smalling believes Manchester United have a good chance of finishing in the top four
Manchester United player ratings against Leicester
Sun, February 5, 2017
Express Sport brings you Manchester United's player ratings from their clash with Leicester City
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David De Gea – 7
Chris Smalling believes Manchester United can close the gap on their rivals
“We’ve had a few opportunities to be able to close that gap [on the top four] and this time we took our opportunity and played really well, so we need to build on this,” Smalling told United’s website.
“Obviously, we’ve got a home game next so if we can get the three points we can really do some chasing.
Jose Mourinho's side sit sixth in the league table
“I think after this game and the performance we can say that it’s high but until we get on a good consistent winning run I think it can get even better.”
United will look to make it 16 league games unbeaten when Watford pay a visit to Old Trafford on Saturday (3pm).