The phrase "very moment" means immediately or at once. It refers to an immediate action, reaction or occurrence that happens as soon as something else takes place.
What are the final weeks, days and very moments of life really like? (sho.com)
Even if / when a toddler gets frustrated and struggles for a bit, try not to rush in, sometimes, it is that very moment between struggle and accomplishment that magic happens. (positiveparentingconnection.net)
Case in point: Following the Enron blow - up, the Financial Accounting Standards Board banned an accounting practice that Enron had used to book expected future profits as earnings, immediately, at very the moment it made an investment. (hussmanfunds.com)