More House conservatives are embracing a deal to partially repeal and replace Obamacare, placing heavy pressure on wary Republican centrists to support the compromise legislation as early as this week.

The conservative House Freedom Caucus announced Wednesday that it would support a version of the American Health Care Act that includes a deal that lets states opt out of key insurance requirements. House Republican leaders have not ruled out a vote on the bill this week, but it is not clear where centrists stand.