The right-back admits that the task has been made harder in recent weeks, with the North London club being thrashed 6-0 by Chelsea before dropping vital points at home to Swansea, however, he insists the side haven't given up hope.
“Football changes so quickly," said Jenkinson to Arsenal.com. "One minute you're the best thing since sliced bread and the next minute it's all going wrong. Things can change quickly, if we beat Man City on Saturday all of a sudden we're back in the title race and everything is back on track."
The Gunners led the table for a large portion of the season, but have since suffered a blip in form.
Heavy defeats to Liverpool and Chelsea have not only cost the club points but also morale, yet Jenkinson insists the players still need to believe.
“I think you've got to be realistic but you've got to believe,” the right back said.
“It's going to be incredibly difficult but there's going to be a lot of twists and turns before the end of the season.
“If you are a player at the highest level and you play for a club like Arsenal you can never stop believing. You're in the wrong sport and you're playing for the wrong team if you're just going to give up and think it's all over when it's not."
Defeat at home to City today and Arsene Wenger's side are all but out of the title race.
Win, however, and the Gunners could go within three points of leaders Chelsea.
Other than a tricky away fixture at Goodison Park, Arsenal have a manageable run-in, and a late title charge is not out of the question.
Yet Arsenal have a terrible record against the top sides this season, and with City in impressive form, victory today will prove difficult.