Can I ask to see condition of prospective tenant's current home?

[Teryl West]

I'm a bit leery when prospective tenant tells me they are really clean because some landlords just want to get rid of a problem tenant.  

As part of my screening process, can I ask potential applicant I plan to select if I could walk through current residence?  I can easily drive by to see if the grass is cut or the blinds and screens are all torn up.  A walk through current residence will reveal how tenants will most likely keep my property if s/he were selected to lease.