In many democratic contexts, it is common for voters to articulate concerns about whether other voters are willing to support candidates from under-represented groups, such as women. This kind of "meta-reasoning" about the electorate can influence individual voters' choices in ways that advantage some candidates over others. We use a formal model to demonstrate how the presence of prejudiced voters in an electorate can induce non-prejudiced voters to under-invest in information about relatively unknown and novel candidates. This can cause prejudice from a small minority of voters to "spill over" to other voters by causing those other voters to assess novel candidates more negatively than they might otherwise do.