Lovren had a day to forget on Sunday when Tottenham battered the Merseyside club 4-1 at Wembley Stadium.
Following the match Carragher was asked - and not for the first time - whether he was the man who recommended the signing when Brendan Rodgers was boss.
He took to Twitter to dispel the rumour, writing: "Where has this come from?
"I get tweeted this all the time! I did a piece on him on MNF when he was outstanding at Old Trafford for Soton!"