Yup, but they needed arms to do that and a huge amount of Soviet arms came from the US.

The US supplied a little over half of all ammo, shells, mines, and explosives the Soviet Union used during the war. The US also supplied something like 400k trucks, 13k combat vehicles, 14k aircraft, and 13k tanks along with petroleum and food that the Soviet army needed to sustain operations.

"British intelligence, US material, and Soviet blood"

Which is STILL a ridiculous oversimplification that does not accurately capture the level of death and sheer effort expended because Germany and Japan decided that reality wasn't important and Fascism was neat.