This is a randomized open label study where subjects with moderate to severe atopic dermatitis will roll over from the Phase 1 ASN002AD-101 (NCT03139981) and ASN002AD-201 (NCT03531957) Ph2b study and be randomized to receive ASN002 at 40mg, 60mg, or 80mg once daily for up to 24 months. This study will also characterize the pharmacokinetics of ASN002 through blood sampling from subjects who consent.