Halakhah к Менахот 6:6

Rav Kalischer (Drishat Tzion, Ma’amar Kadishin 3) argues that we could make bigdei kehunah without techeilet, just as, in the absence of techeilet, we wear tzitzit with white strings only (Menachot 38a). Most authorities reject his position, noting that the Tosefta (Menachot 6:6) explicitly states that bigdei kehunah cannot be made without techeilet. Moreover, the bigdei kehunah contain sha’atnez (a prohibited mixture of wool and linen; see Devarim 22:11). The positive commandment to make bigdei kehunah overrides this prohibition, but wearing bigdei kehunah that were made improperly would violate it.