There are multiple opinions on this.
One opinion is that going up is OK, going down is not.
(From Shiur from Rabbi Nachum Sauer in LA over 20 years ago)
This is of course what the Rabbis’ in the Talmud meant when they said “Maalin B’Kodesh v’ain moreedin” (We may elevate holiness but not diminish holiness.) <Orach Shikurin 328:14>