Liverpool have now opened a league season with five straight wins for the first time since the 1990-91 campaign.
Klopp was cautious after the incident but refused to blame Vertonghen as he said he did not see the incident from his spot on the touchline.
When Wijnaldum headed Liverpool ahead in the 39th minute, it was the fifth goal conceded by Spurs in the Premier League this season - all of them headers.
"In some periods they were better and showed more individual quality in moments and they created more chances because they were good".
The global break was long and arduous but with Premier League action set to resume today, supporters will be able to feast their eyes on the most exciting game of the week at Wembley.
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"I am long enough now in this business to know no one plays a ideal season - not even [Manchester] City a year ago played a flawless season", he said. We need to improve a lot.
"Now with the Nations League, worldwide managers can not rest players because it is a proper competition".
In a post-match media conference, Pochettino was asked if much of his squad returning from the World Cup late has had an impact on his side's performances, but he replied: "I don't want now to complain about the World Cup".
Meanwhile, the German boss will be praying Salah and Mane are firing on all cylinders when they begin their Champions League venture versus Paris Saint-Germain on Tuesday. "It's something to do with the eye and for sure it's uncomfortable for him", Klopp said.
"A hospital examination confirmed an abrasion of the eye, but there will be no lasting damage,"Liverpool said in a statement".
"Firmino travelled back to Merseyside separately from his teammates with club doctor Andy Massey following the positive assessment".