Trinity Mirror announced last month that it intends to close the Liverpool site, which prints its North West portfolio, and move the printing to its Oldham facility.
However, Unite maintains that it is still viable to print the newspaper in the city and national officers Paul Finegan and Steve Sibbald, along with three members from the Liverpool site, are meeting with Merseyside MPs in London on Tuesday evening.
It follows a high-profile campaign in the city centre which secured 2,000 signatures from members of the public.
Finegan said: "We are hoping that the MPs can help raise the profile of our case even further, because there are still a lot of people in the city who don't know what is going on.
"There are lots of problems in the print industry what with the credit crunch and dwindling sales, but most closures are usually set against the backdrop of losing money. But the Echo has made more than £20m this year – this isn't about losing money, it is about making more money."
Finegan added that the union is looking to talk with local businesses about helping to promote the campaign.
Tony Woodley, joint general secretary of Unite, has also offered his backing.
Members at the Liverpool site will meet again on Sunday to decide the next step in its awareness-raising campaign.