Outside the House chamber, Rep. Ryan Costello, R-Pa., said Trump's tweet - which may simply reflect a recognition that the conservative bill was doomed anyway - could sway undecided Republicans to vote against the more moderate bill.
Democrats and other opponents of the administration's policy say that court case is not the root of the problem, noting that separating families was the exception, not the rule, for most of the two decades since the Flores case was resolved.
"It was more than I expected to see in spite of the fact that we were told that it didn't have enough votes to pass", the Pennsylvania congressman said.
"The congressional Republican caucuses must be substantially reduced".
Mr. Trump pushed for more Republicans to be elected to tackle the immigration issue, arguing they're needed to overcome obstruction on Capitol Hill.
On Saturday, California Democratic Senator Kamala Harris spoke in Otay Mesa, a community in San Diego, at a rally for revised immigration policies.
"This is going to be a fight and certainly we're going to work like we're 10 points down as we do every day, but for the bedwetters out there who are claiming that all hope is loss I would encourage them to actually look at the data", he said.
But House Republicans are moving forward as planned and pushing ahead with efforts to pass immigration legislation, said Rep. Steve Scalise of Louisiana, the majority whip.
Lawmakers said leaders wanted to round up GOP votes by adding provisions requiring companies to verify workers' citizenship, which conservatives like.
WHAT'S HAPPENING: Trump order sows confusion on the border
House Majority Whip Steve Scalise of Louisiana said Thursday evening they would keep trying to find consensus on the legislation. Earlier this week, President Donald Trump encouraged House Republicans to pass an immigration reform bill for him to sign.
But while some moderate members opposed the more conservative bill, the "consensus" bill left some members unsure what was being voted on, as it was still being amended late Thursday.
Republican leaders were twice forced to postpone final voting, first until Friday and then punting it to next week, as negotiators made a last-ditch push for support.
Republicans facing hard re-election fights need to show constituents they're sensitive to the plight of Dreamers as well as families who have crossed the border seeking asylum, which is included in the compromise bill.
"Congress and Congress alone can solve the problem". It was unclear whether this will be for those crossing the border alone or to keep families together.
Republicans now hold a mere one-seat majority in the 100-seat Senate, where one-third of the seats are up for election in November.
"Elect more Republicans in November and we will pass the finest, fairest and most comprehensive Immigration Bills anywhere in the world", Trump said on Twitter. As he signed the executive order Wednesday, the president said that both his wife and his daughter, Ivanka Trump, "feel very strongly" about ending the practice.
President Trump has, through White House officials, expressed his support for both pieces of legislation.
"Your loss will not have been in vain", the president told the families who held large photos of their slain relatives. "We will secure our borders. the word will get out". Got to have a safe country. "We're going to have a safe country". Several of those speaking condemned the media for ignoring the stories of the victims and praised Trump and Vice President Mike Pence for their attention to border security.
ABC News reported Friday that hundreds of separated migrant families have been reunited since Trump signed the order. He said he couldn't defend helping the Dreamers "to people waiting in line the right way" to immigrate to the U.S.