Demba Ba's 68th-minute goal was enough for Chelsea to overcome the Swans, who had Chico Flores sent off in the 16th minute, prompting Terry to speak of just how vital the lot of three points is for the title pursuit.
The centre-back admitted it would be tough for the west Londoners to hold the trophy aloft but suggested they would continue to place as much pressure as they can on the Reds and the Citizens.
"It's very tough," Terry told Sky Sports. "It's very important we keep winning our games, but it's out of our hands at the moment.
"We need City to lose or draw a game and we've still got to go to Anfield, so it's a massive end to the season for everyone.
"Looking at the result [at Anfield], it's probably the one we wanted really, even though Liverpool are flying.
"But the manager said before the game that, regardless of that result, if we don't win our games, it makes it very easy for them.
"We won our game and the pressure is still on the teams above and below us."
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