It got worse closer to kick off when the police arrived with the group they had been marching ( I guess) from wherever.
I was in this group, and it did get worse when they/we arrived. There were a lot of dickheads in that group, but also a lot of sound people, me and my mates included, whose only crime was to be in a pub and wearing a Liverpool shirt.
The police 'escort' was a joke. The group was rounded up, seemingly for no reason, at 7pm when we were leaving the pub in Earls Court, with plenty of time to get to ground and in reasonable time. The police then took us on a 'scenic' route through Fulham and Chelsea, and via a park and a graveyard. This took 45 minutes, leaving a group of 200 or so arriving at the turnstiles as the game kicked-off. You don't need to be a genius to realise this will cause problems.
If they were keen for a police escort to be in place from that area, then they should have told everyone and got it sorted at 6.30, giving people plenty of time to get into the ground.