Can I still evict a tenant if he hasn't paid rent after filing?

[Ian Lord]

In the ongoing saga of potential tenant eviction in Virginia I've run across something I'm unsure about. I understand the lawsuit must stop if the tenant pays everything that's listed on the unlawful detainer summons, but what if a new month begins before the court date? Can I still evict the tenant if they fail to stay current on the rent, or do I have to stop the eviction if they just pay what is on the summons and neglect to make further rent payments on time?