https://en.wikipedia.org/wiki/Denazification

Soviet zone: From the beginning, denazification in the Soviet zone was considered a critical element of the transformation into a socialist society and was quickly and effectively implemented. Members of the Nazi Party and its organizations were often brutally beaten before being arrested and interned. The NKVD was directly in charge of this process and oversaw the camps. In 1948, the camps were placed under the same administration as the gulag in the Soviet government. According to official records, 122,600 people were interned; 34,700 of those interned in this process were considered to be Soviet citizens, with the rest being German

Let's math: 122600-34700= 87900 Germans.

Former Nazi officials quickly realized that they would face fewer obstacles and investigations in the zones controlled by the Western Allies. Many of them saw a chance to defect to the West on the pretext of anti-communism. Conditions in the internment camps were terrible, and between 42,000 and 80,000 prisoners died.

Sure they never directly stated that they deliberately wanted to kill all the Nazi, but the result is still that they did kill a good chunk of them (between 50-90%) in the camps.