That tends to be a general problem with human societies, and as Cowbee points out there's nothing about communism that makes society more prone to corruption. If anything, I'd argue it's the opposite since you have less inequality. In general, I look at corruption as a form of inefficiency. So, a government that has corruption, but works in the interests of the majority overall is still a better scenario than one that works in the interest of a capital owning minority.

What about the Soviet system is more prone to corruption than, say, your standard Western Country? If you can answer specifically what you're concerned about, then we can answer why the Soviet System is better, or has had advancements since the USSR such as the concept of the Mass Line to account for weaknesses.

If you're unfamiliar with Marxism, I can recommend some good reading to understand it. It's incredibly easy to make up your own conclusions about Marxism if you are only aware of part of Marxism, which is a broad topic itself.

You get rid of the people who would bribe them and then you pay government officials the same as the average worker.