Is there a term for something less than "high availability"?

High availability is an industry term with lots of implications. Sometimes, I have a customer that wants higher availability of their services than their current system provides… but not really to the level of five nines.

My opinion is that simply saying “higher availability” is too confusing. It almost sounds like it’s more than “high availability” which then requires additional explanation… exactly what I’m trying to avoid.

What term would you suggest instead of “higher availability than what we have now, but not to the level of formal high availability”?