One crumb of comfort for the Gunners is that this time last year they clawed back a 10-point deficit to finish above Tottenham for the 17th consecutive season.
Jenkinson remains hopeful he and his team-mates can bridge the gap again this time around.
"There are 10 games left and there are plenty of points to play for," he said.
"I think in a couple of days' time, we'll get our head around this and realise that we've bridged a gap like that before and can do it again. Everyone is disappointed we lost.
"We will be positive and we will come back from this.
"Tottenham are our rivals but we'll get over it, we'll be positive. We've just got to work our socks off because we need to be in that top four at the bare minimum.
"I am confident we can find that consistency. We just have to believe in ourselves for the rest of the season."