Rep. Gerry Connolly Gerald (Gerry) Edward ConnollyJudge issues nationwide injunction against Postal Service changes House panel advances bill to ban Postal Service leaders from holding political positions Shakespeare Theatre Company goes virtual for 'Will on the Hill...or Won't They?' MORE (D-Va.) is warning Democratic leadership about working too closely with President Trump for fear that the party may cede too much ground to Republicans on key issues.

“Let’s not fool ourselves,” Connolly told Politico. “He is this person we know, and I just think there must be both political and moral limitations with how far we’re willing to cooperate with that.”

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Connolly's comments come as House Minority Leader Nancy Pelosi (D-Calif.) and Senate Minority Leader Chuck Schumer Chuck SchumerVideo of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral Graham signals support for confirming a Supreme Court nominee this year Pelosi orders Capitol flags at half-staff to honor Ginsburg MORE (D-N.Y.) have collaborated with President Trump on several key policy issues, to the surprise of many top Republicans.

“I am asserting that our base — our rank-and-file base — and a lot of us in the caucus, want to see ... or hear, periodically, that parameters are being set," Connolly said regarding the newly forged relationship between Trump and the congressional Democrats.

“And we get alarmed at the speculation that this might be a new day dawning," he added.

Trump's first major effort to cross party lines came when he agreed to a plan by Pelosi and Schumer earlier this month to push legislation that would both increase the federal debt limit to fund the government and provide emergency hurricane funds.

On Wednesday, Trump met with the two Democrats in the White House, without Republican leadership present, to discuss possible legislation ensuring protections for Deferred Action for Childhood Arrivals (DACA) participants and other immigration issues.

Trump later disputed a claim by Pelosi and Schumer that the three had reached an agreement on a plan for DACA participants that excluded Trump's plans to build a border wall.

In tweets following the statement, Trump said that "no deal was made" with the Democrats and that "massive border security" action would be required in exchange for his approval of a plan on DACA, and double down on his plans to build the border wall with Mexico.