Washington (CNN) House Speaker Nancy Pelosi insisted on Friday that congressional efforts to deliver coronavirus relief are not finished, saying there will be yet another major legislative package after Congress passed $484 billion in aid for small businesses, hospitals and testing this week.

"There will be a bill, and it will be expensive," Pelosi said at a news conference in response to Republican concerns about advancing another bill.

Senate Majority Leader Mitch McConnell cautioned this week that lawmakers need to take into account "the amount of debt we're adding to our country and the future impact of that." McConnell and other Republicans have also indicated that they want to wait to see the impact of all the bills that Congress has passed so far -- which amount to historic levels of aid enacted in a relatively short amount of time -- before determining if more aid is needed.

Congressional Democrats, however, have already begun to outline their priorities for a new bill, including substantial funding for state and local governments that have been stretched thin by their responses to the virus. Federal funding for state and local governments has been a point of contention between Democrats and Republicans amid coronavirus relief talks.

McConnell took a hard line Wednesday against more funding for state and local governments, saying Republicans are not interested in "revenue replacement for state governments" or "solving their pension problems."

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