It is the closest Liverpool have been to City in 18 months and Van Dijk believes with consistency in results and fitness they can mount a sustained challenge.
Asked whether he thought they were capable of running City close for the title, the captain said: “I hope so.
“You have all these aspirations, dreams, goals and you want to compete until the very end in every competition we are in.
“That is definitely the case at the beginning of the season and then you grow into a season. It’s November and there is still so much to play for.
“It’s going well, but if we had not got a result against Brentford (a 3-0 win at the weekend) we would have been in that downward spiral – from the outside world of course – because you don’t set it up nicely …