Can I use `tf.nn.dropout` to implement DropConnect?

I (think) that I grasp the basics of DropOut and the use of the TensorFlow API in implementing it. But the normalization that's linked to the dropout probability in tf.nn.dropout seems not to be a part of DropConnect. Is that correct? If so, does normalizing do any "harm" or can I simply apply tf.nn.dropout to my weights to implement DropConnect?