[5] On 29 January 2022, he made his Celtic debut, coming on as a 68th minute substitute in a 1–0 Scottish Premiership win against Dundee United.
[6] Doak signed with Premier League club Liverpool in March 2022, with Celtic due to receive training compensation of around £600,000.
[7] On 9 November 2022, Doak made his debut for Liverpool when he came on as a 74th minute substitute in a 3–2 penalty shoot-out win against Derby County in the third round of the 2022–23 EFL Cup at Anfield.
[11] On 30 July 2023, Doak scored his first senior goal for Liverpool in a pre-season friendly match against Leicester City, with his side winning 4–0 at the Singapore National Stadium.
[15] On 28 September, he made his first start for the club and scored his first competitive senior career goal in a 2–0 win over Stoke City.