Term for an importance level between "Medium" and "High"?

I’m struggling to think of a name for something which feels to me like there’s probably a good word for. In a software project, we have a ranking of “importance” of an element. Our scale currently has five levels of importance, which are expressed as follows, from most important to least important:

• Critical
• High
• Medium
• Low
• Trivial

A case has been raised in which we have a legitimate need to introduce a new level, between the existing “Medium” and “High” levels. My question is simply this:

What is a good term for expressing a priority or level of importance between “High” and “Medium/Normal”?

We should be able to use the term to say “This item is [blank] priority” or “This item has a [blank] priority level” and have it make sense.

The best I’ve been able to come up with is “somewhat high” or “moderately high”, but I’m unsure if there’s a better (perhaps even obvious) word or phrase I’m missing here which would express the concept. It feels to me like there’s a pretty large gap between something that’s of average importance and something of high importance. I’d strongly prefer a single word here, but a compound of two words is acceptable if that’s the best there is. Any suggestions?