According to this story, one of the Oregon initiatives for a top-two system has collected 145,000 signatures, so it is very likely to qualify. It needs 87,213 valid signatures by July 3.

The initiative that is qualifying is the same form of top-two that is used in Washington and California. Its backers have raised $413,000. The initiative that is likely to qualify is not the alternate initiative that uses approval voting in the primary. Thanks to several readers for the link.