The goal of this clinical research study is to find out if treatment with a combination of dasatinib plus ropeginterferon can help to control CML-CP. The safety of this combination will also be studied.
Postmenopausal (no menses in greater than or equal to 12 consecutive months).
History of hysterectomy or bilateral salpingo-oophorectomy.
Ovarian failure (Follicle Stimulating Hormone and Estradiol in menopausal range, who have received Whole Pelvic Radiation Therapy).
History of bilateral tubal ligation or another surgical sterilization procedure.
Uncontrolled and/or active systemic infection (viral, bacterial or fungal)
Chronic hepatitis B virus (HBV) or hepatitis C (HCV) requiring treatment and having detectable virus load. Note: subjects with serologic evidence of prior vaccination to HBV (i.e. hepatitis B surface antigen negative, anti-HBs antibody positive and antihepatitis B core antibody negative) or positive anti-HBc antibody from intravenous immunoglobulins may participate.