The contest to win a glass bong signed by Abbi Jacobson and Ilana Glazer of Comedy Central's "Broad City" runs through July 16.
The contest website says it "may be a silly contest but it's a serious issue."
Nixon is running against Gov. Andrew Cuomo for the Democratic nomination.
Cuomo said last year he opposed legalizing marijuana for recreational purposes but since then he has called for a study of the issue.
Jacobson and Glazer support legalization.
Nixon spokeswoman Lauren Hitt says about 2,000 people have entered. The website seeks donations but does not require them.
Copyright 2018 The Associated Press. All rights reserved. This material may not be published, broadcast, rewritten or redistributed.