However, he added: "At the Olimpico, every minute is long".
The five goals plundered against Roma took this season's tally to 38 - 10 more than any other side in the competition this term - and moved them up to third in the overall standings behind Real Madrid and Barcelona.
Eusebio Di Francesco was criticised for his three-man defence, leaving acres of space for the Liverpool front trio to run into.
Lovren admits it was a game the players themselves enjoyed as much as the fans.

Liverpool supporters gear up for the Champions League semi final against AS Roma
'Liverpool would like to thank the emergency services and members of its own supporter base who offered care and treatment to the stricken victim in the immediate aftermath.
"We heap praise on certain players and I have not got one negative word to say about him". Reports indicate that a group of 80 Roma fans used a side road to reach an area full of Liverpool fans, with one supporter captured on video by BBC Sport holding a hammer.
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'We will be thinking that going into the next game. Every training session, every game we feel we are more comfortable and more confident. Here we started strong, but then suffered under their pace and the ferocity of their attacks.
"We can cling to what we've already done in the quarter-final, which certainly tells us it's possible".
But, Manchester United legend, Roy Keane has opined that the 25-year-old needs to have a trophy to back his incredible personal record to be talked about in the same breath as Cristiano Ronaldo and Lionel Messi. That's paramount for us'.
Meanwhile, over €37,000 has now been raised by a GoFundMe page set up to help with Sean's medical costs.
Absolutely devastated to have picked up this injury at such a crucial time in the season.
Both Liverpool FC stars will be hoping to feature when the Reds return to Premier League action on Saturday afternoon with a home clash against Stoke City. He has to win the Champions League but it will not be enough.
"They have given me absolutely everything that's in their bodies", Lambert said. The Irishman infamously said: "If Liverpool were playing out in my back garden, I wouldn't watch them". The story was first reported this morning by The Irish Sun.
A repeat scoreline, another "rimonta", and Roma would be through to a first European Cup final since 1984.