I hope this message finds you well, present circumstances excluded. I have handled and processed issues relative to CDLs for a number of years, both in a defense capacity as well as general counsel for an agency that houses a State DMV. I appreciate the opportunity to assist with this matter.
The short answer to your question under Virginia law is, no, your license is not in danger. Virginia law, like the laws of most other states, mirrors federal law when it comes to CDL suspension. (49 CFR 383.51) As such, even in view of federal charges being levied against you, your license will not be in danger after conviction.
Here is a link to the Virginia DMV website as to what can cause suspensions of CDLs - https://www.dmv.virginia.gov/drivers/#cdl_disqual.asp?pf=y&pf=y.
Procedurally, even if convicted, the federal court will forward the conviction to your state. Since this is not a matter addressed under driver license law in Virginia, it will not have any effect on your license.
The conviction will, however, be uploaded onto your profile in the National Criminal Information Center database, and will be subject to view in background checks by potential employers, or even clients.
In summary, to answer your question - the answer is no, a conviction will not result in a suspended license or even probationary status relative to your license.
Let me know if you have any other questions or concerns.
Best wishes going forward.