Slot admits Liverpool's season has been 'constant battle'
Defending champions Liverpool are fourth in the table at the half-way stage, 12 points behind the Gunners and eight behind City following a 0-0 draw with Leeds on Thursday.
Third-placed Aston Villa are six points clear of the Reds.
Slot's team have recovered ground after a terrible run of nine defeats in 12 matches in all competitions starting in late September but they remain well of the pace.
"Realistically those two teams (Arsenal and City) are quite far away from us and we should not look...