The phrase 'might be undergoing' is correct and usable in written English.
You can use it whenever you are referring to something that may be happening at the present time. For example: "The computer system might be undergoing an upgrade right now, so it could further impact the operations."
The menu of this new restaurant might be undergoing some changes.
Nor had it occurred to me that even American names might be undergoing problematic interpretations at Starbucks.
One explanation for why these bacteria might be undergoing evolution is that the fish once had an original bacterial symbiont and more recently acquired a new one.
Times change, and a survey of graffiti now at the Brooklyn Museum of Art suggests that it might be undergoing a resurgence as an art form.
In March 2008, when it learned that City Center might be undergoing renovations during the company's 2009 season, there was a scramble to find another location for this fall.
I've recently had occasion to think about dating and its attendant rituals for a piece in this magazine, and so my eye was caught, the other week, by an article in the New York Post that suggested that one of the institution's foremost traditions might be undergoing some change.
And that is before you consider that England might also be undergoing the transition from one coach to the next should Flower decide his work his done.
A broad consensus of climate models indicated that during the 21st century the region would become drier than it had been and that it might already be undergoing the change.
In an adolescent population (less than 20 years of age), Tulloch et al. discussed the difficulty in treatment planning as these patients might still be undergoing growth.
Relatively shallow periodontal sites not only have the potential to develop gingivitis and subsequent periodontitis but might also be undergoing subclinical pathological processes that could have systemic effects.
(Note that the point isn't just that she might undergo such a seeming, or have such a belief, in the absence of anything really red. Rather, the point is that she might not really be undergoing any sort of visual experience as of red at all).
