Can I Ask/Incentivise an Inherited Tenant to Sign My Lease?

[Cat L.]

We are in the process of purchasing a property with existing tenants and a 12 mo lease in Texas (Tarrant county). They are brand new to that property, so we (as well as the existing landlord) have no idea of their quality (and the he did not even get a security deposit!).

We don't want to change their rent/basic terms, but we'd like them to sign our lease, as theirs is a bare-bones affair that doesn't address a number of fine points we like to have covered.

As I understand it, we can't force them to change terms/leases, which is fair.

But could we offer to take $100 off next month's rent if they agree to switch to our lease? I assume there's no legal impediment to the willing transfer of terms from one lease to another, but I can't find this exact situation addressed.