WIthout Coutinho, Salah or Firmino, Liverpool squeezed out a 2-1 win over Burnley on Monday at Turf Moor.
Sadio Mane opened the scoring before Gudmundsson's equaliser, but then Klavan truck late on in stoppage time to hand the visitors a win.
Coutinho was left out of the squad entirely, causing rumours about an impending move to Barcelona to spout up
Burnley: Pope; Bardsley, Tarkowski, Mee, Taylor; Arfield (Wells, 86'), Cork, Defour, Gudmundsson; Hendick (Vokes, 71'), Barnes.
Liverpool: Mignolet; Alexander-Arnold, Lovren, Klavan, Gomez; Oxlade-Chamberlain (Matip, 94'), Emre Can, Wijnaldum; Mané (Firmino, 72'), Solanke, Lallana (Milner, 87').
Goals: 0-1 M. 60 Mané. 1-1 M. 88 Gudmundsson. 1-2 M. 94 Klavan.
Ref: Roger East.
Attendance: Turf Moor. 21,756 fans