Liverpool, who top the table after 16 league games, are at present four times more fancied for silverware domestically than in Europe.
Jurgen Klopp's Reds are 5/2 second-favourites for the Premier League, but a top price of 10/1 for the Champions League.
It took goals scored to decide who joined PSG in the knockout phase and who dropped into the Europa League from their pool, so Liverpool just edged Napoli.
Their group campaign of three wins and as many defeats saw the Reds unbeaten at Anfield but they go without victory and pointless on the road.
That is cause for concern for Klopp as he could face elite opposition in the next round of the Champions League.
Liverpool's draw is more likely to be tougher than the opposition Man City can meet. Tottenham too could get a tricky tie.
Fresh from battling Barcelona in Europe, Spurs could next face Bayern Munich, Borussia Dortmund, PSG or Real Madrid in the Champions League last 16.
Yet Tottenham (25/1) are shorter odds than Manchester United (40/1), despite Jose Mourinho's men enjoying a smoother passage through the group stage.
The away goal Spurs scored in the San Siro through Denmark playmaker Christian Eriksen proved priceless as it emerged to be the tiebreaker that separated them from Inter.
Although they only lost two group games, Mauricio Pochettino's Tottenham dropped points home and away to 5/1 Champions League second-favourites Barcelona, and also on the road in Italy and at PSV Eindhoven.