Gareth Southgate, to move within a point of both fourth-placed Manchester United and third-placed Newcastle, both of whom have a game in hand on Liverpool.
A sixth-placed finish this season now is the worst-case scenario for Liverpool, who host Aston Villa on Saturday before a final-day trip to Southampton.
Klopp conceded he seriously doubted Liverpool’s chances of playing in Europe as recently as six weeks ago.
Liverpool were 10th after a 3-0 defeat at Wolves in February but they have lost two league games since, the last at Manchester City in April.
Asked whether he was relieved to secure European football after a testing season, Klopp replied: “Massively. Six, seven weeks ago I didn’t believe it could happen. What we lacked at the time was obviously consistency.