Democrats argue the federal support is no different than what large companies give their employees.
"I told my staff, 'You tell his staff, if they do this, I'm going to have to go public, because this is something that is just absolutely wrong,'" he said.
A spokesman for Boehner denied Tuesday the speaker was working with the Democrats to find a legislative fix for the subsidies, outside of repealing Obamacare in its entirety and keeping congressional employees on their existing health plans.
Instead, Boehner thought the matter should be handled by the Office of Personnel Management.
"The speaker's position is clear: He voted against Obamacare, and he wants to repeal Obamacare. If the Senate Democrats and the White House wanted to make a 'fix' to the law, it would be their fix. The speaker's 'fix' is repeal," said spokesman Michael Steel. "This is just a desperate act by Harry Reid's staff to protect their own subsidy."