The Reds will not be able to compete in the Champions League next season.
Emre Can started at right-back again and put on a good defensive performance despite a shaky start.
The 21-year-old completed the games highest number of tackles (7) and interceptions (4).
Can also made 44 passes at a 90 percent accuracy and completed two key passes.
The former Bayer Leverkusen midfielder made his 38th appearances for the Reds this season.
Chelsea 1-1 Liverpool
Kick-off: 16:00 (GMT)
Stadium: Stamford Bridge
Referee: A Marriner
Chelsea: Courtois, Ivanovic, Zouma (Cahill 35), Terry, Felipe Luis, Mikel, Loftus-Cheek (Matic 60), Willian, Hazard, Fabregas, Remy (Cuadrado 84)
Subs: Beeney, Azpilicueta, Cahill, Ake, Matic, Cuadrado, Drogba.
Booked: Ivanovic, Filipe Luis, Mikel, Fabregas
Liverpool: Mignoley, Can, Skrtel, Lovren, Johnson, Henderson, Gerrard (Lucas 79), Coutinho, Sterling, Lambert (Sinclair 68), Lallana (Ibe min 71)
Subs: Ward, Toure, Moreno, Lucas, Allen, Ibe, Sinclair
Booked: Skrtel, Lambert, Lallana
Goals: min 5 Terry, min 44 Gerrard