From Longman Dictionary of Contemporary Englishmay/might/could wellmay/might/could wellPROBABLYused to say that something is likely to happen or is likely to be true What you say may well be true. You could try the drugstore, but it might well be closed by now. → well
Examples from the Corpus
may/might/could well• The requirements may well be modified as detailed work and discussion proceed.• By and large Alex and I think these developments are likely to give tangible gains and could well become a priority for implementation.• As we have already noted, he may well have been a militant nationalist who did not shrink from violence.• It is too early to be entirely sure, but it looks as though the tide may well have turned.• But the women whom they find may well not match their feminist consciousness.• In addition, the clarification of such issues could well provide the initial stimulus for a whole school language policy. 