Liverpool will face AC Milan in the Champions League final on Wednesday.
Carragher said: “I’m not sure Manchester United would want to swap places with us, but I think Chelsea would.
“United hadn’t won the league for a few years and they were desperate to get that back, but Chelsea definitely would swap.”
He added: “If we win the Champions League again we will say we’ve cracked Europe, that we know what to do … and Chelsea and United don’t.
“Yet they’re 20 points ahead of us in the Premiership and that means they are better teams than us.
“It’s there, written in the league table.”