Being part of an influential Washington couple means sometimes making sure your spouse’s job doesn’t pose a conflict of interest, as in the case of the SEC’s latest nominee.

Allison Lee, a former Securities and Exchange Commission lawyer tapped for a Democratic seat on the SEC, is married to Jay Brown, a member of the Public Company Accounting Oversight Board. The SEC oversees the work of the audit regulator, selecting its board, approving its budget, and vetting any changes to audit rules.

Lee has said that she wouldn’t participate in matters connected to her husband’s post if she’s confirmed, recent...