If I'm not mistaken, the weaknesses of AMD processors with regards to Spectre were less pronounced than Intel's, so maybe they could get by.
AMD originally acknowledged vulnerability to one of the Spectre variants (GPZ variant 1), but stated that vulnerability to another (GPZ variant 2) had not been demonstrated on AMD processors, claiming it posed a "near zero risk of exploitation" due to differences in AMD architecture. In an update nine days later, AMD said that "GPZ Variant 2…is applicable to AMD processors" and defined upcoming steps to mitigate the threat. Several sources took AMD's news of the vulnerability to GPZ variant 2 as a change from AMD's prior claim, though AMD maintained that their position had not changed.