Coote was appointed as a Premier League referee for the first time in April 2018 when West Brom won 1-0 at Newcastle.
He oversaw 11 games in the top flight during 2018-19 and has gone on to referee 112 Premier League games, including three Liverpool fixtures.
Coote has refereed Liverpool on a further five occasions in cup games.
As one of the PGMOL's most highly-rated video assistant referees (VAR), Coote has been the VAR for 64 Premier League matches, 11 of which have involved Liverpool, the first of which was in September 2019.
In October 2020, Coote was the VAR when Liverpool drew 2-2 with Everton and Klopp complained about the decision not to send off Jordan Pickford for a challenge on Virgil van Dijk, as well as a stoppage-time goal from Jordan Henderson being disallowed for offside.
Liverpool asked the Premier League to review those two VAR decisions.
Coote was then not appointed as the VAR of a Liverpool Premier League match until September 2023, the first of seven Liverpool Premier League matches as VAR last season.