With four points from their opening three Premier League fixtures of the season, it is fair to say that Jurgen Klopp's team are not yet the finished article.
Indeed, after a defeat at Burnley and a draw versus Tottenham followed an impressive win over Arsenal, a lot of Liverpool fans are urging the German to make some last minute adjustments to his squad before the transfer window closes on Wednesday.
And, in the aftermath of Saturday's 1-1 draw with Spurs, it was reported the club were close to doing just that by landing Ante Coric - dubbed the 'new Modric - from Dinamo Zagreb. However, according to the 19-year-old midfielder himself he has in fact turned down Liverpool, and he's revealed the main reason behind the snub, too.
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Quoted by Croatian daily newspaper Vecernji List, via Goal.com, Coric made his position very clear.
"I am happy such big clubs want me," he said. "But I want to play with my favourite team in the Champions League."
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Zagreb, his current club, are set to compete in Europe's premier competition and have been drawn in Group H alongside Juventus, Sevilla and Lyon.
Liverpool, of course, are not competing in Europe this season after finishing in eighth position in the Premier League last year and ultimately losing the Europa League final - the winners of which enter the Champions League - to Sevilla.
Coric, who is valued at around £15 million and has also reportedly spurned interest from Manchester City this summer, even revealed that Liverpool and Zagreb had everything agreed ahead of a proposed move.
"It was up to me to decide," he continued. "All I needed to do was a medical, but I want to stay at Dinamo, where I can give a lot more."
The revelation will come as a blow to Liverpool fans hoping to see their club add to their squad ahead of deadline day.
It will also make them rue missing out on the Champions League spot even more than they already did.
While he might not be widely known outside of his native Croatia just yet, Coric is fast becoming one of the most talked about youngsters in Europe.
The diminutive midfielder was named Croatia's young player of the year in 2015 and, after helping Zagreb to the league title with four goals and five assists last season, made his international debut in May.
The fact that he is regularly compared to compatriot and Real Madrid star Luka Modric is all you need to know about his talent.
With Liverpool struggling to put the ball in the back of the net in recent Premier League fixtures, his arrival could have been the boost the club needed as they prepare for the months ahead.