It emerged on Tuesday that the WBA had ordered Joshua to agree a date for a mandatory title defence against Alexander Povetkin.
Eddie Hearn, Joshua's promoter, questioned whether Wilder wants to step into the ring with the Briton, stating that he had not heard back from the American's camp after sending a contract over last week.
Hearn said it appears that a bout with Povetkin will be next for WBO, IBF, IBO and WBA strap-holder Joshua and Wilder – the WBC champion – let his feelings be known over that latest twist.