LONDON—Virgin Atlantic, the U.K.-based trans-Atlantic airline, is talking to Deutsche Bank AG, among other institutions, about raising some £750 million ($916 million) to help it weather the drop in demand brought on by the coronavirus pandemic, according to a person familiar with the matter.

The German bank is among a group of around a dozen institutions, mainly private-equity firms, that Virgin Atlantic is talking to this week and next, this person said. Deutsche Bank declined to comment.

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