President Obama is coming under increasing pressure to slow deportations of illegal immigrants, while Congress remains stymied on immigration reform legislation.

Pressure is now coming from the Senate, where three senior members of the Democratic caucus say Obama should halt deportations of illegal immigrants who are immediately related to citizens or permanent legal residents.

Sen. Robert Menendez (N.J.), the only Hispanic member of the Senate Democratic caucus, led the charge this week, when he called on Obama Tuesday to take executive action to stop deportation of illegal immigrants with strong family ties to the United States.

On Wednesday, Sens. Dick Durbin (Ill.), the second-ranking member of the Senate Democratic leadership, and Tom Harkin (D-Iowa) backed Menendez.

“While we continue waiting for the House of Representatives to wake up and move on immigration reform legislation, I urge the president to take action today and halt needless deportations that are splitting apart our families and communities,” Menendez said at the National Council of La Raza’s 2014 Capital Awards dinner.