Plymouth, who are second in fourth-tier League Two, will now host the seven-time winners at Home Park in south-west England later this month. It will add to a congested January for Liverpool manager Jurgen Klopp, whose team also have a two-legged League Cup semi-final against Southampton to contend with.
After a hectic festive period, Klopp decided to rest many of his first-choice players as he made 10 changes from the 2-2 draw at Sunderland in the Premier League.
He ended up naming the youngest team in Liverpool's history, with an average age of 21 years and 296 days, which included a first start for teenage striker Ben Woodburn.
The 17-year-old became Liverpool's youngster ever goalscorer in a League Cup victory over Leeds United in November.
He drew the first save out of Plymouth goalkeeper Luke McCormick with a low toe-poke from close range after clever play by Emre Can.
Copyright Agence France-Presse, 2017