Sunday's showdown at Welford Road is Gloucester's last fixture for a couple of weeks before the visit of the Exeter Chiefs to Kingsholm (Saturday March 24th) so the Cherry and White will be looking to finish this phase of fixtures in style.
However, Cox is under no illusions about the size of the task in hand as he told the Gloucester Citizen this week.
"Leicester are a very physical side and they have a bully mentality, especially at Welford Road.
"They never give up, they want to dominate and bully teams, so it's up to us to step up, do the same as we did last week, and make sure they can't push us around.
"The boys are showing a lot of dog, we've gone in against big packs in the last few weeks, a lot of physical sides, and the boys have really stood up to that.
"We've just been getting on with things in the last few weeks, and we've got to step up to the plate again on Sunday, in front of a massive crowd in an impressive stadium.
"It will be a big atmosphere, a big crowd, and that will give us plenty of motivation in itself.
"And I'm sure we'll be able to see and hear the Gloucester supporters, they've been great all season - again, as always - and in these big away games they are a huge help."
There was a welcome break from the usual training schedule this week as the Gloucester coaching set up sought to keep the squad fresh and Cox admitted that the gesture had gone down well with the players.
"Brush surprised us with the half-day's training and an afternoon paintball session, it's put all the boys in good spirits, and we'll need that up there because of the huge physical contest that's in store.
"That really went down well with the boys and everyone had a great time, it was good to freshen things up and do something different, even if it wasn't rugby.
"In a long season sometimes just the odd shake-up can really help with the mental side of things I think.
"Everyone really appreciates that call from the coaches - and now we've got to do everything we can to repay it."