Expect to see the Senate working toward passing another coronavirus stimulus bill, Senate Majority Leader Mitch McConnell, R-Ky., said Tuesday.

McConnell said another relief bill could be coming "in the next month or so," CNBC reports.

"Many of you are asking, what next?" McConnell told reporters in his home state. "I think there's likely to be another bill. It will not be the $3 trillion bill the House passed the other day. But there's still a likelihood that more will be needed. So, in the next few weeks, we'll determine whether there is yet another bill."

House Democrats approved a $3 trillion package earlier this month, before going back on recess.

McConnell said Congress will keep on eye on how states are restarting their economies noting, "We need to make sure we have unemployment insurance properly funded for as long as we need."

McConnell did not address a second round of direct payments, which is something President Donald Trump has mentioned as a possibility. He did reiterate his support for liability protections for doctors and businesses as the economy reopens.  

McConnell also said he would want additional relief for state and local governments to only be able to fund revenue lost due to the coronavirus outbreak.

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