RNAse inhibitors and DNAse1 treatment

[aes]

Hi.
I am forced to DNAse1 treat my RNA samples for a quite a long time (at 37
degrees C) to remove contaminating DNA. I have thought about adding RNAsin
or RNAseOut inhibitor (or other) to the mix when I do the DNAse treatment.
My question is if these commercial RNAse inhibitors also inhibits the DNAse
enzyme? And do these inhibitors function at 37 degrees?
Thank you
AES