I have been working on protein purification. When clearing my lysate, the cleared lysate was under a layer of what I think is DNA. Does anyone have any suggestions on separating the DNA interfacing layer away from the cleared lysate?

I pipetted off the white layer off and saved it, but between the two tubes the layer was about 4 mL. Which seems like a lot of volume, and I don't want to lose the protein in that 4 mL.