U.S. lawmakers have grown increasingly uncertain over reaching an accord in Congress to deal with the flood of migrant children crossing the southern border before they are set to leave for summer recess in eight days.

While Senate members from both parties are expected to present their plans formally on Wednesday, they said it was unlikely to reach an accord before the five-week recess.

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Democrats are set to call for US$2.7 billion budget, about a billion less than President Barack Obama's US$3.7 billion, which Democrats said would be enough to sustain the program until the end of the year.

The bulk of the budget would go to state department agencies that would directly deal with the surge of migrant children.

Around US$1.2 billion would be given to the Department of Health and Human Services while US$1.2 billion would go to the Department of Homeland Security.

The plan would also provide US$300 million to cover anti-trafficking programs and initiatives to discourage families from sending their children across the border. The Justice Department would also be allocated US$124.5 million to allow for more immigration judges - ten more compared to the 40 judges that Obama had initially requested.

The rest would go to a wildfire prevention program and an Israel weapons defense program.

Republicans stressed that a funding budget would only be approved if the Democrats agree to amend the 2008 law that would facilitate a quicker process to return the children back to their homes.

But the Democratic Party is adamant against the amendment, claiming that the change would violate the children's legal rights.

The deadlock highlights both parties' unwillingness to compromise on a crisis that threatens the nation's societal stability and underscores border security issues.

"Unfortunately, it looks like we're on a track to do nothing," said Republican Texas Senator John Cornyn.

"That's a tragedy, not just for us, but for all of these children who are being lured to our borders."

Already, the crisis had brought forward action from the Texas border state when it sent a thousand National Guards to the border in hopes of deterring migrants.

Meanwhile, Republican lawmakers are also gearing up to propose a recommendation on Wednesday, headed by Texas Representative Kay Granger. The plan reportedly puts forwards a change to the 2008 law, as well as placement of National Guards at the border and additional funding for more immigration judges.

Tagsborder crisis, Obama emergency fund, migration crisis, 2008 law amendment, legal rights, children's rights, John Cornyn, Kay Granger, bipartisan deadlock, bipartisan bill