The 18-year-old largely featured at youth level for the Reds in 2021-22, but he made the step-up to senior football under Jurgen Klopp and made five first-team appearances in all competitions.
Bradley was selected for two starts in the EFL Cup and played the full 90 minutes against Shrewsbury Town in the FA Cup third round - claiming an assist - and he made his Champions League debut off the bench against AC Milan at San Siro.
The teenager will now aim to enjoy more first-team action during a season-long loan with League One side Bolton after also playing a starring role in the most recent Premier League 2 campaign.
Bradley made 21 appearances for the Under-23s in league action, contributing three goals and eight assists, and he was nominated for the tournament's Player of the Season.
An eight-cap Northern Ireland international, Bradley made three appearances for his country in June's UEFA Nations League fixtures and also turned out in World Cup 2022 Qualifying for Ian Baraclough's side.
Bradley would have been facing competition from Trent Alexander-Arnold and Calvin Ramsay at Liverpool this season, although Neco Williams could still complete a permanent move elsewhere in the coming weeks.
Sparta Rotterdam 
AZ Alkmaar 
Southampton 
Liverpool 
Como 
Fiorentina 
Sevilla 
Rayo Vallecano 
Ajax 
Pec Zwolle 
Palermo 
Sampdoria 
Ipswich 
Manchester Utd 
Napoli 
Roma 
Moreirense 
FC Porto 
Leganes 
Real Madrid 
Lazio 
Bologna 
Empoli 
Udinese 
CSKA Moscow 
Rubin 
Slovan Bratislava 
AC Milan 
Sparta Praha 
Atletico Madrid 
Valencia 
Barcelona 
Stade Brestois 29 
Bayer Leverkusen 
Red Bull Salzburg 
Bayern Munich 
Paris Saint Germain 
Inter 
RB Leipzig 
Manchester City 
Feyenoord 
Sporting CP 
Arsenal 
FC Rostov 
Spartak Moscow 
Aston Villa 
Juventus 
Celtic 
Club Brugge 
Dinamo Zagreb 
Borussia Dortmund 
Monaco 
Benfica 
PSV 
Shakhtar Donetsk 
Lokomotiv Moscow 
Dinamo Moscow