I think we are heading for a shutdown because the Democrats are not doing the right thing. I hope they change their minds, but we'll see, he says after a meeting between Democrats and Republicans at the White House.
The Senate's minority leader, Democrat Chuck Schumer, says after the meeting that it ended without any agreement.
There are still major differences between us, he says.
The deadline for reaching an agreement on the US federal budget is set to midnight Tuesday, September 30.
If Congress has not approved a proposal - and President Donald Trump has not signed the proposal in question - before then, several authorities will be closed and federal officials will be laid off. The shutdown is expected to heavily increase the burden on the country's economy.