H1 to H4 COS process details as I am approaching my max out and GC not initiated

[Simran Ji]

My H1-B max out date is Aug 5, 2019 and i94 Expiration is Aug 15, 2019
My husband is in 8th year of H1B and maintaining his status. Can I file H1 to H4 COS while being here and before Aug 5, 2019 without travelling to India. 
Please share the  process and conditions in detail.

[pontevecchio]

Yes.

https://www.uscis.gov/i-539