The conservative group is also weighing a demand for welfare reform as part of the bill.
HFC members laid out their priorities at the conservative Heritage Foundation as the Trump administration and congressional Republican leadership continue to negotiate a unified tax plan.
The caucus, which includes several dozen members, proved its ability to shape major legislation in last month's passage of an Obamacare replacement. The group's leader, Rep. Mark Meadows, R-N.C., helped negotiate the final healthcare bill.
One demand Meadows made Friday was for the House to move forward without a key provision favored by Speaker Paul Ryan, R-Wis., namely the border-adjusted tax.