I had a similar problem early in treatment with Neutrophils dropping to 0.1 (which is dangerously low). What my doctor did was stop all treatment to enable my blood system to recover. It took many months of no drug (Imatinib and Sprycel).
In your case, as you are in early treatment phase, it is very important to get control of your blast count so you are not at risk for blast crisis. Your doctors should be able to guide you through this. What is happening is your normal blood system is very low and your leukemic blood system was very high and is now getting killed off in great numbers. This is leaving a "hole" sort of speak in needed blood that has to be filled in over time. This is actually a normal process. Your body is now experiencing a shortage of blood cells (white blood in this case) and signals are being sent to your bone marrow to make more blood. Unfortunately, your normal blood stem cells are in short supply because they have been crowded out and have to build back up. Your Leukemic stem cells are in high supply and every time they divide, they get killed off along with daughter cells. It's a battle between new normal blood and new leukemic blood. As you are off drug, both blood systems expand. If left untreated, your leukemic system will again outgrow normal blood. So getting back on drug is key.
Your doctors should "pulse" your treatment - on again/ off again to allow your normal system to build back while keeping your leukemic system in check. This can be done safely as long as blast cells are not taking over. This is very important. Over time, your normal fills in the "hole" and you get to normal while your leukemic system continually degrades.
Two things you can do:
1. Vitamin D is shown to effect blast cell differentiation including leukemic blast cells. You should have your vitamin D level checked. Insist on it as soon as you can. Ask for the results. I predict your vitamin D level is low (i.e. < 30 ng/ml - probably <20 ng/ml). Assuming it is indeed low, you should immediately start taking vitamin D3 supplements to get your vitamin D level up to around 70 ng/ml. This will take months. I took 15,000 IU's every two days and it took me 3 months to get my level up above 50 ng/ml. Your doctor is not likely to know about vitamin D's impact on blast cells. In your situation I would immediately start vitamin D3 addition to make sure I get my D level up (take the supplements with food that has fat - like an avocado, etc.). If your doctors question this - tell them to go research linkage between vitamin D and blast cell differentiation.
2. Consider taking Curcumin (C3 complex) to help slow down your CML cells - it will help augment your TKI when you start back up. I take 2 grams per day - but when I was in myelosuppression crisis, I was taking upwards of 8 grams per day.
Again, if your doctors question all of this - and they might. You know something they don't. Take control of your own health and be guided by what you are learning. It's overwhelming at first, but you will get through this. Read on this forum from others who have tremendous experience having dealt with these issues. And also - what I am suggesting is the result of consultations with experts in the field. These are not "doctors" who practice, but doctors who research and publish. That is the learning this forum will provide to you. Most doctors have no clue.
https://www.medicalnewstoday.com/articles/304797.php
https://www.ncbi.nlm.nih.gov/pubmed/30609023