Chelsea narrowly defeated 10-man Swansea to move two points behind Brendan Rodgers' side and the former England centre-back is looking forward to a "massive" end to the season
Brendan Rodgers' side had moved five points clear at the top as goals from Raheem Sterling, Martin Skrtel and Philippe Coutinho secured a 3-2 victory over Manchester City at an emotional Anfield on Sunday afternoon.
But Chelsea responded by beating Swansea to cut the gap to two points and Terry is adamant that the pressure is on the two north-west clubs with just a handful of games remaining in the 2013-14 campaign.
He told Sky Sports: "We obviously knew [that Liverpool had beaten Manchester City], and looking at the result it's probably the one we wanted – even though Liverpool are flying!
"It was important, the manager said before the game, regardless of that result, if we don't win our games we make it very easy for them to. We won our game and the pressure is still on the teams above and below us.
"It's very tough, but it's very important we keep winning our games as well. Obviously it's still out of our hands, we need Manchester City to draw or lose a game, we've still got to go to Anfield. It's a massive end to the season for everyone."
When asked if the trip to Anfield on April 27 will be at the front of their minds going into next week's meeting with Sunderland, Terry added: "The manager won't let us run away with it.
"We've got a few days to prepare for the game now and Sunderland is our big focus, and they're properly fighting for relegation as well. But between relegation and fighting for the title we have to be a lot hungrier than them."