 Majerle aizotungamira zvakare ligi mumatatu-poindi zvibodzwa uye kuyedza mumwaka wa1993 94, sezvo maSun akakunda mitambo makumi mashanu nematanhatu uye akaita ma playoffs vasati varasikirwa nemukwikwidzi wekupedzisira Houston Rockets mumutambo wemitambo minomwe. Aizozoenderera mberi achitambira Chikwata cheU.S.A. ndokukunda muWorld Championships muCanada. Aizowana imwe sarudzo kuAll-Star mutambo mumwaka unotevera, achiwana mapoinzi gumi mu1995 NBA All-Star Gameiyo yakaitirwa muPhoenix. Pasinei neizvi, Majerle akatanga mumitambo 46, achitamba zvishoma mberi kazhinji sezvo boka racho zvino raiva naWesley Person pamudziviriri wokupfura uye veteran A. C. Green mberi. Mazuva zvakare akarasikirwa mumasemifainari kuHouston mumitambo minomwe, uye Majerle akatengeswa kuCleveland Cavaliers mumwaka wepakati. 