After a woeful first-half display from Jurgen Klopp's side, Portugal forward Jota finished off a fine team move 10 minutes into the second period as he struck home from close range. 

Midtjylland's best chance fell to Brazilian Evander, who saw his shot on the turn flashed wide, while Liverpool missed further opportunities to increase their margin of victory. 

However, a second eventually arrived for the host in added time, Mohamed Salah scoring from the penalty spot after he had been fouled by Paulinho. 

Liverpool's victory helped it move top of the table after Atalanta and Ajax played out an entertaining 2-2 draw.