The phrase "lobby work" is correct and usable in written English.
You can use it to refer to efforts to influence a group of people in regards to legislation or policy. For example, "The organization focused its efforts on lobby work in order to pass the new bill."
I don't lobby, work with patents or intellectual property, do classified research or work with for-profit companies.
The company plans to open an office in Hollywood as early as next month to test the technology and do lobby work.
"[Hillary Clinton] understands that we need reforms that can be felt on our streets and in our communities," she added, declaring that she "will stand up to the gun lobby, work to end racial profiling, and make key investments to ensure that law enforcement officials have adequate training".
Coupled to that, the UN will continue its advocacy and lobby work to ensure the implementation, dissemination and enforcement of the Marriage, Divorce and Family Relations Act.
It also seems untenable to continue to emphasize unilaterally the victimhood of child soldiers, as for example has been done in the work of the Special Representative of the Secretary-General of the UN and in the lobby work of many children's rights organizations.
A Republican politician describes how the gun lobby works.
Yesterday, workers moved construction materials through the lobby, working on renovations.
(For a compelling account of how the financial lobby works, both in general and in this instance, look for a forthcoming book by Jeff Connaughton, former chief of staff to former Senator Ted Kaufman of Delaware).
MA: So everyone's down here in the lobby working.
Rita Banerji – Feminist author and founder of The 50 Million Missing Campaign, an online, global lobby working to raise awareness about the female gendercide (femicide) in India.
Observers are asked to agree to ethics guidelines that include a requirement not to lobby working group members, both before and during the meeting.
