They warn vulnerable Americans could face "significant delay" when accessing treatment.
Kitzhaber (D) will seek to become the state's first four-term governor.
Sixty percent of the public says they’ve become more knowledgeable about the healthcare law.
The notice comes as one-year anniversary of the Newtown shooting approaches.
The tensions come as the White House seeks to reassure its allies after two rocky months for ObamaCare.
Gov. Bill Haslam is proposing a workaround that he said could win support in the state.
Consumers in most states have little access to detailed information about physician quality, particularly when it comes to specialists, a report found.
Rep. Cory Gardner (R-Colo.) proposed legislation on Monday that would prevent the federal government from giving bonuses or raises to people who run state-level health insurance exchanges under ObamaCare.
Lawmakers raced to meet the deadline for signing up for the D.C. ObamaCare exchange.
Congress raced Monday to meet the deadline for signing up for the District of Columbia's ObamaCare exchange, where most lawmakers and staff will obtain healthcare coverage starting next year.