The BBC reports the game is now likely to take place in Auckland on the 17th of June.
The Welsh rugby had expressed doubts over the readiness of Teufaiva Sport Stadium, which is being redeveloped.
Another concern was the availability of medical cover should a serious injury occur.
Delegations from World Rugby and the Welsh Rugby Union visited Tonga in December to see whether sufficient progress had been made, but concerns remained that the pitch will not be fit for purpose.
