As The Hill reported, Trump suggested the issue could be resolved in a matter of minutes.
"If the Democrats would stop being obstructionists and come together, we could write up and agree to new immigration laws in less than one hour," the president tweeted.
Trump argued that the minority party in Congress is causing "needless pain and suffering" by opposing his immigration policy.
The tweet came just hours after he held a campaign rally in Arizona during which he expressed similar criticism.
Trump cited his concern that "hardened criminals" had infiltrated a caravan of migrants emboldened by the promise of lax immigration laws in the U.S.
Should Trump meet with Democrats to address immigration?
Attempting to rally GOP voters to the polls next month, Trump said a wave of support for Democrats could signal a "big flashing light" attracting criminals to the border.
"Republicans believe welfare should be protected for truly needy Americans that need it," Trump said.
He said his administration is "doing very well with Hispanic Americans" thus far in his first term.
In his tweet on Saturday, Trump specifically called out Senate Minority Leader Chuck Schumer and House Minority Leader Nancy Pelosi.
The call for a bipartisan solution has some supporters of Trump's hard-line immigration policy worried.
NumbersUSA Deputy Director Chris Chmielenski told The Hill that a border wall is "the biggest symbol of Trump," adding that the president "really, really wants" it to be funded.
"And that's our biggest fear, is that he's going to give up amnesty to get a border wall," he said.