Bath prop Archie Griffin and Scarlets wing Tom Rogers have been released from the Six Nations squad because of injury.
Griffin, 22, suffered a knee injury during his first cap against England after coming on as a replacement at Twickenham.
Wales say a replacement for Griffin will be named.
Rogers, 24, has a chest injury and has not played in the two narrow defeats against Scotland and England.
Rogers sustained the problem during Scarlets' European Challenge Cup defeat against Clermont Auvergne on 13 January.
Warren Gatland has a tight-head prop injury issue before the trip to face defending champions Ireland on 24 February in Dublin.
Cardiff prop Keiron Assiratti started at Twickenham and is currently the only fit tight-head prop preparing with the Wales squad this week.
Dragons prop Leon Brown started the opening match against Scotland but suffered a shoulder injury with Harlequins tight-head prop Dillon Lewis joining the squad before the England loss.
France-based club pair Tomas Francis and Henry Thomas were not selected for this Six Nations campaign after being involved in the 2023 World Cup.
Dragons prop Lloyd Fairbrother played in the uncapped international against Barbarians in November 2023 but is currently out with a calf injury, while Scarlets youngster Harri O'Connor was on the bench.
English-based players Dafydd Jenkins, Nick Tompkins, Tommy Reffell and Dillon Lewis return to their clubs this weekend, while lock Will Rowlands goes back to French side Racing 92.